{"id":33988,"date":"2022-04-05T13:32:26","date_gmt":"2022-04-05T08:02:26","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=33988"},"modified":"2022-04-07T11:43:19","modified_gmt":"2022-04-07T06:13:19","slug":"big-ideas-math-algebra-1-answers-chapter-10","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-1-answers-chapter-10\/","title":{"rendered":"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations"},"content":{"rendered":"<p>If you feel your practice session is incomplete then you just need this one particular &amp; useful material ie., <span class=\"JsGRdQ\"><strong>Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations<\/strong>. This is one of the best study resources available on the internet for international students who want to become pro in mathematics. <\/span><\/p>\n<p><span class=\"JsGRdQ\">Kids will discover more preparation sections in this <strong>Big Ideas Math book Ch 10 Answer Key of Algebra 1<\/strong> such as<\/span> Exercises 10.1 to 10.4 Questions, Chapter Test, Review Tests, Cumulative Practice, Quizzes, etc. Therefore, go through this article and gain more subject knowledge and also enhance your math skills by concerning the Chapter 10 Radical Functions and Equations <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-1-answers\/\"><em>BIM Algebra 1 Answer Key<\/em><\/a>.<\/p>\n<h2 class=\"entry-title\">Topic-wise Big Ideas Math Book Algebra 1 Solution Key Chapter 10 Radical Functions and Equations<\/h2>\n<p>The solutions of BIM Algebra 1 Chapter 10 Radical Functions and Equations are explained by the expert professionals as per the common core standards. So, students can trust this ch 10 Radical Functions and Equations Big Ideas math book Answers and make use of them at their preparation. It helps to improve your math knowledge and also clarify your queries on algebra 1 ch 1o Radical Functions and Equations complex topics. Download the <em><strong>Chapter 10 Big Ideas Math Algebra 1 Radical Functions and Equations Answer key<\/strong><\/em><strong>\u00a0<\/strong>from the links without a single penny and ace up your preparation.<\/p>\n<ul>\n<li><a href=\"#Radical_Functions_and_Equations_Maintaining_Mathematical_Proficiency\">Radical Functions and Equations Maintaining Mathematical Proficiency &#8211; Page 541<\/a><\/li>\n<li><a href=\"#Radical_Functions_and_Equations_Mathematical_Practices\">Radical Functions and Equations Mathematical Practices &#8211; Page 542<\/a><\/li>\n<li><a href=\"#Lesson_10.1_Graphing_Square_Root_Functions\">Lesson 10.1 Graphing Square Root Functions &#8211; Page(543-550)<\/a><\/li>\n<li><a href=\"#Graphing_Square_Root_Functions_10.1_Exercises\">Graphing Square Root Functions 10.1 Exercises &#8211; Page(548-550)<\/a><\/li>\n<li><a href=\"#Lesson_10.2_Graphing_Cube_Roots_Functions\">Lesson 10.2 Graphing Cube Roots Functions &#8211; Page(551-556)<\/a><\/li>\n<li><a href=\"#Graphing_Cube_Roots_Functions_10.2_Exercises\">Graphing Cube Roots Functions 10.2 Exercises &#8211; Page(555-556)<\/a><\/li>\n<li><a href=\"#Radical_Functions_and_Equations_Study_Skills:_Making_Note_Cards\">Radical Functions and Equations Study Skills: Making Note Cards &#8211; Page 557<\/a><\/li>\n<li><a href=\"#Study_Skills:_Making_Note_Cards\">Study Skills: Making Note Cards<\/a><\/li>\n<li><a href=\"#Radical_Functions_and_Equations_10.1\u201310.2_Quiz\">Radical Functions and Equations 10.1\u201310.2 Quiz &#8211; Page 558<\/a><\/li>\n<li><a href=\"#Lesson_10.3_Solving_Radical_Equations\">Lesson 10.3 Solving Radical Equations &#8211; Page(559-566)<\/a><\/li>\n<li><a href=\"#Solving_Radical_Equations_10.3_Exercises\">Solving Radical Equations 10.3 Exercises &#8211; Page(564-566)<\/a><\/li>\n<li><a href=\"#Lesson_10.4_Inverse_of_a_Function\">Lesson 10.4 Inverse of a Function &#8211; Page(567-574)<\/a><\/li>\n<li><a href=\"#Inverse_of_a_Function_10.4_Exercises\">Inverse of a Function 10.4 Exercises &#8211; Page(572-574)<\/a><\/li>\n<li><a href=\"#Radical_Functions_and_Equations_Performance_Task:_Medication_and_the_Mosteller_Formula\">Radical Functions and Equations Performance Task: Medication and the Mosteller Formula &#8211; Page 575<\/a><\/li>\n<li><a href=\"#Radical_Functions_and_Equations_Chapter_Review\">Radical Functions and Equations Chapter Review &#8211; Page (576-578)<\/a><\/li>\n<li><a href=\"#Radical_Functions_and_Equations_Chapter_Test\">Radical Functions and Equations Chapter Test &#8211; Page 579<\/a><\/li>\n<li><a href=\"#Radical_Functions_and_Equations_Cumulative_Assessment\">Radical Functions and Equations Cumulative Assessment &#8211; Page(580-581)<\/a><\/li>\n<\/ul>\n<h3><a id=\"Radical_Functions_and_Equations_Maintaining_Mathematical_Proficiency\"><\/a>Radical Functions and Equations Maintaining Mathematical Proficiency<\/h3>\n<p><strong>Evaluate the expression.<\/strong><br \/>\nQuestion 1.<br \/>\n7\\(\\sqrt{25}\\) + 10<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\n-8 &#8211; \\(\\sqrt{\\frac{64}{16}}\\)<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n\\(5\\left(\\frac{\\sqrt{81}}{3}-7\\right)\\)<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\n-2(3\\(\\sqrt{9}\\) + 13)<br \/>\nAnswer:<\/p>\n<p><strong>Graph f and g. Describe the transformations from the graph of f to the graph of g.<\/strong><br \/>\nQuestion 5.<br \/>\nf(x) = x; g(x) = 2x &#8211; 2<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nf(x) = x; g(x) = \\(\\frac{1}{3}\\)x + 5<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nf(x) = x; g(x) = -x + 3<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\n<strong>ABSTRACT REASONING<\/strong><br \/>\nLet a and b represent constants, where b \u2265 0. Describe the transformations from the graph of m(x) = ax + b to the graph of n(x) = -2ax &#8211; 4b.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Radical_Functions_and_Equations_Mathematical_Practices\"><\/a>Radical Functions and Equations Mathematical Practices<\/h3>\n<p>Mathematically proficient students distinguish correct reasoning from flawed reasoning.<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p>Question 1.<br \/>\nWhich of the following square roots are rational numbers? Explain your reasoning.<br \/>\n\\(\\sqrt{0}, \\sqrt{1}, \\sqrt{3}, \\sqrt{4}, \\sqrt{5}, \\sqrt{6}, \\sqrt{7}, \\sqrt{8}, \\sqrt{9}\\)<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nThe sequence of steps shown appears to prove that 1 = 0. What is wrong with this argument?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33990\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 2\" width=\"277\" height=\"84\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_10.1_Graphing_Square_Root_Functions\"><\/a>Lesson 10.1 Graphing Square Root Functions<\/h3>\n<p><strong>Essential Question<\/strong> What are some of the characteristics of the graph of a square root function?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Graphing Square Root Functions<br \/>\nWork with a partner.<\/p>\n<ul>\n<li>Make a table of values for each function.<\/li>\n<li>Use the table to sketch the graph of each function.<\/li>\n<li>Describe the domain of each function.<\/li>\n<li>Describe the range of each function.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-33991\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 1\" width=\"490\" height=\"252\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-1.png 490w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-1-300x154.png 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Writing Square Root Functions<br \/>\nWork with a partner. Write a square root function, y = f (x), that has the given values. Then use the function to complete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33992\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 2\" width=\"640\" height=\"292\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-2.png 640w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-2-300x137.png 300w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Communicate Your Answer<\/strong><\/p>\n<p>Question 3.<br \/>\nWhat are some of the characteristics of the graph of a square root function?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nGraph each function. Then compare the graph to the graph of f(x) = \\(\\sqrt{x}\\).<br \/>\na. g(x) = \\(\\sqrt{x-1}\\)<br \/>\nb. g(x) = \\(\\sqrt{x-1}\\)<br \/>\nc. g(x) = 2\\(\\sqrt{x}\\)<br \/>\nd. g(x) = -2 \\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p><strong>Describe the domain of the function.<\/strong><br \/>\nQuestion 1.<br \/>\nf(x) = 10 \\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\ny = \\(\\sqrt{2x}\\) + 7<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nh(x) = \\(\\sqrt{-x+1}\\)<br \/>\nAnswer:<\/p>\n<p><strong>Graph the function. Describe the range.<\/strong><br \/>\nQuestion 4.<br \/>\ng(x) = \\(\\sqrt{x}\\) &#8211; 4<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\ny = \\(\\sqrt{2x}\\) + 5<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nn(x) = 5\\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p><strong>Graph the function. Compare the graph to the graph of f(x) = \\(\\sqrt{x}\\) .<\/strong><br \/>\nQuestion 7.<br \/>\nh(x) = \\(\\sqrt{\\frac{1}{4} x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\ng(x) = \\(\\sqrt{x}\\) &#8211; 6<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nm(x) = -3\\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 10.<br \/>\nLet g(x) = \\(\\frac{1}{2} \\sqrt{x+4}+1\\). Describe the transformations from the graph of f(x) = \\(\\sqrt{x}\\) to the graph of g. Then graph g.<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nIn Example 5, compare the velocities by finding and interpreting their average rates of change over the interval d = 30 to d = 40.<br \/>\nAnswer:<\/p>\n<p>Question 12.<br \/>\n<strong>WHAT IF?<\/strong><br \/>\nAt what depth does the velocity of the tsunami exceed 100 meters per second?<br \/>\nAnswer:<\/p>\n<h3><a id=\"Graphing_Square_Root_Functions_10.1_Exercises\"><\/a>Graphing Square Root Functions 10.1 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>COMPLETE THE SENTENCE<\/strong><br \/>\nA ________ is a function that contains a radical expression with the independent variable in the radicand.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41466\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 1\" width=\"531\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-1.png 531w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-1-300x34.png 300w\" sizes=\"(max-width: 531px) 100vw, 531px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>VOCABULARY<\/strong><br \/>\nIs y = 2x\\(\\sqrt{5}\\) a square root function? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n<strong>WRITING<\/strong><br \/>\nHow do you describe the domain of a square root function?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41467\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-3.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 3\" width=\"582\" height=\"57\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-3.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-3-300x29.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p>Question 4.<br \/>\n<strong>REASONING<\/strong><br \/>\nIs the graph of g(x) = 1.25\\(\\sqrt{x}\\) a vertical stretch or a vertical shrink of the graph of f(x) = \\(\\sqrt{x}\\)? Explain.<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p><strong>In Exercises 5\u201314, describe the domain of the function.<\/strong><br \/>\nQuestion 5.<br \/>\ny = 8\\(\\sqrt{x}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41468\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-5.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 5\" width=\"569\" height=\"97\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-5.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-5-300x51.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<p>Question 6.<br \/>\ny = \\(\\sqrt{4x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\ny = 4 + \\(\\sqrt{-x}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41469\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-7.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 7\" width=\"559\" height=\"160\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-7.png 559w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-7-300x86.png 300w\" sizes=\"(max-width: 559px) 100vw, 559px\" \/><\/p>\n<p>Question 8.<br \/>\ny = \\(\\sqrt{-\\frac{1}{2^{x}}}\\) + 1<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nh(x) = \\(\\sqrt{x-4}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41470\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-9.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 9\" width=\"562\" height=\"144\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-9.png 562w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-9-300x77.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Question 10.<br \/>\np(x) = \\(\\sqrt{x+7}\\)<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nf(x) = \\(\\sqrt{-x+8}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41471\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-11.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 11\" width=\"556\" height=\"218\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-11.png 556w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-11-300x118.png 300w\" sizes=\"(max-width: 556px) 100vw, 556px\" \/><\/p>\n<p>Question 12.<br \/>\ng(x) = \\(\\sqrt{-x-1}\\)<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\nm(x) = 2\\(\\sqrt{x+4}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41472\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-13.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 13\" width=\"568\" height=\"158\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-13.png 568w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-13-300x83.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/p>\n<p>Question 14.<br \/>\nn(x) = \\(\\frac{1}{2} \\sqrt{-x}-2\\)<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 15\u201318, match the function with its graph. Describe the range.<\/strong><br \/>\nQuestion 15.<br \/>\ny = \\(\\sqrt{x-3}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41473\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-15.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 15\" width=\"562\" height=\"117\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-15.png 562w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-15-300x62.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Question 16.<br \/>\ny = 3\\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\ny = \\(\\sqrt{x}\\) &#8211; 3<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41474\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-17.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 17\" width=\"585\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-17.png 585w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-17-300x73.png 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><\/p>\n<p>Question 18.<br \/>\ny = \\(\\sqrt{-x+3}\\)<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-33993\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-3.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 3\" width=\"332\" height=\"277\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-3.png 332w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-3-300x250.png 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><\/p>\n<p><strong>In Exercises 19\u201326, graph the function. Describe the range.<\/strong><br \/>\nQuestion 19.<br \/>\ny = \\(\\sqrt{3x}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41475\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-19.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 19\" width=\"553\" height=\"397\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-19.png 553w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-19-300x215.png 300w\" sizes=\"(max-width: 553px) 100vw, 553px\" \/><\/p>\n<p>Question 20.<br \/>\ny = 4\\(\\sqrt{-x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\ny = \\(\\sqrt{x}\\) + 5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41476\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-21.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 21\" width=\"527\" height=\"406\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-21.png 527w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-21-300x231.png 300w\" sizes=\"(max-width: 527px) 100vw, 527px\" \/><\/p>\n<p>Question 22.<br \/>\ny = -2 + \\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\nf(x) = &#8211; \\(\\sqrt{x-3}\\)<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-41477\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-23.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 23\" width=\"568\" height=\"441\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-23.png 568w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-23-300x233.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/p>\n<p>Question 24.<br \/>\ng(x) = \\(\\sqrt{x+4}\\)<br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\nh(x) = \\(\\sqrt{x+2}\\) &#8211; 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41478\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-25.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 25\" width=\"577\" height=\"441\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-25.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-25-300x229.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Question 26.<br \/>\nf(x) = &#8211;\\(\\sqrt{x-1}\\) + 3<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 27\u201334, graph the function. Compare the graph to the graph of f (x) = \\(\\sqrt{x}\\).<\/strong><br \/>\nQuestion 27.<br \/>\ng(x) = \\(\\frac{1}{4} \\sqrt{x}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41479\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-27.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 27\" width=\"572\" height=\"415\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-27.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-27-300x218.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/p>\n<p>Question 28.<br \/>\nr(x) = \\(\\sqrt{2x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\nh(x) = \\(\\sqrt{x+3}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41480\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-29.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 29\" width=\"588\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-29.png 588w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-29-300x234.png 300w\" sizes=\"(max-width: 588px) 100vw, 588px\" \/><\/p>\n<p>Question 30.<br \/>\nq(x) = \\(\\sqrt{x}\\) + 8<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\np(x) = \\(\\sqrt{-\\frac{1}{3} x}\\)x<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41481\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-31.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 31\" width=\"543\" height=\"526\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-31.png 543w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-31-300x291.png 300w\" sizes=\"(max-width: 543px) 100vw, 543px\" \/><\/p>\n<p>Question 32.<br \/>\ng(x) = -5\\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\nm(x) = &#8211;\\(\\sqrt{x}\\) &#8211; 6<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41482\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-33.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 33\" width=\"543\" height=\"465\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-33.png 543w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-33-300x257.png 300w\" sizes=\"(max-width: 543px) 100vw, 543px\" \/><\/p>\n<p>Question 34.<br \/>\nn(x) = &#8211;\\(\\sqrt{x}\\) &#8211; 4<br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nDescribe and correct the error in graphing the function y = \\(\\sqrt{x}\\) + 1 .<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33994\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-4.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 4\" width=\"279\" height=\"197\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41483\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-35.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 35\" width=\"548\" height=\"613\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-35.png 548w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-35-268x300.png 268w\" sizes=\"(max-width: 548px) 100vw, 548px\" \/><\/p>\n<p>Question 36.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nDescribe and correct the error in comparing the graph of g(x) = \\(-\\frac{1}{4} \\sqrt{x}\\) to the graph of f (x) = \\(\\sqrt{x}\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-5.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 5\" width=\"313\" height=\"257\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-5.png 313w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-5-300x246.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 37\u201344, describe the transformations from the graph of f (x) = \\(\\sqrt{x}\\) to the graph of h. Then graph h.<\/strong><br \/>\nQuestion 37.<br \/>\nh(x) = 4\\(\\sqrt{x+2}\\) &#8211; 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41484\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-37.1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 37.1\" width=\"577\" height=\"500\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-37.1.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-37.1-300x260.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41485\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-37.2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 37.2\" width=\"300\" height=\"286\" \/><\/p>\n<p>Question 38.<br \/>\nh(x) = \\(\\frac{1}{2} \\sqrt{x-6}\\)+ 3<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\nh(x) = 2\\(\\sqrt{-x}\\) &#8211; 6<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41486\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-39.1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 39.1\" width=\"580\" height=\"465\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-39.1.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-39.1-300x241.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41487\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-39.2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 39.2\" width=\"261\" height=\"230\" \/><\/p>\n<p>Question 40.<br \/>\nh(x) = &#8211;\\(\\sqrt{x-3}\\) &#8211; 2<br \/>\nAnswer:<\/p>\n<p>Question 41.<br \/>\nh(x) = \\(\\frac{1}{3} \\sqrt{x+3}\\) + 3<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41488\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-41.1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 41.1\" width=\"579\" height=\"430\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-41.1.png 579w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-41.1-300x223.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41489\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-41.2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 41.2\" width=\"308\" height=\"261\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-41.2.png 308w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-41.2-300x254.png 300w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><\/p>\n<p>Question 42.<br \/>\nh(x) = 2\\(\\sqrt{x-1}\\) + 4<br \/>\nAnswer:<\/p>\n<p>Question 43.<br \/>\nh(x) = -2\\(\\sqrt{x-1}\\) + 5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41490\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-43.1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 43.1\" width=\"579\" height=\"451\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-43.1.png 579w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-43.1-300x234.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41491\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-43.2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 43.2\" width=\"300\" height=\"212\" \/><\/p>\n<p>Question 44.<br \/>\nh(x) = -5\\(\\sqrt{x+2}\\) &#8211; 1<br \/>\nAnswer:<\/p>\n<p>Question 45.<br \/>\n<strong>COMPARING FUNCTIONS<\/strong><br \/>\nThe model S(d ) = \\(\\sqrt{30df}\\) represents the speed S (in miles per hour) of a van before it skids to a stop, where f is the drag factor of the road surface and d is the length (in feet) of the skid marks. The drag factor of Road Surface A is 0.75. The graph shows the speed of the van on Road Surface B. Compare the speeds by finding and interpreting their average rates of change over the interval d = 0 to d = 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33996\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-6.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 6\" width=\"397\" height=\"216\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-6.png 397w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-6-300x163.png 300w\" sizes=\"(max-width: 397px) 100vw, 397px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41492\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-45.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 45\" width=\"502\" height=\"519\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-45.png 502w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-45-290x300.png 290w\" sizes=\"(max-width: 502px) 100vw, 502px\" \/><\/p>\n<p>Question 46.<br \/>\n<strong>COMPARING FUNCTIONS<\/strong><br \/>\nThe velocity v (in meters per second) of an object in motion is given by v(E ) = \\(\\sqrt{\\frac{2 E}{m}}\\), where E is the kinetic energy of the object (in joules) and m is the mass of the object (in kilograms). The mass of Object A is 4 kilograms. The graph shows the velocity of Object B. Compare the velocities of the objects by finding and interpreting the average rates of change over the interval E = 0 to E = 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33997\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-7.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 7\" width=\"236\" height=\"237\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-7.png 236w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-7-150x150.png 150w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 47.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nConsider the graph of y = \\(\\sqrt{x}\\).<br \/>\na. Write a function that is a vertical translation of the graph of y = \\(\\sqrt{x}\\).<br \/>\nb. Write a function that is a reflection of the graph of y = \\(\\sqrt{x}\\).<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41493\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-47.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 47\" width=\"522\" height=\"190\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-47.png 522w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-47-300x109.png 300w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><\/p>\n<p>Question 48.<br \/>\n<strong>REASONING<\/strong><br \/>\nCan the domain of a square root function include negative numbers? Can the range include negative numbers? Explain your reasoning.<br \/>\nAnswer:<\/p>\n<p>Question 49.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nThe nozzle pressure of a fire hose allows firefighters to control the amount of water they spray on a fire. The flow rate f(in gallons per minute) can be modeled by the function f = 12\\(\\sqrt{p}\\), where p is the nozzle pressure (in pounds per square inch).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33998\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-8.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 8\" width=\"241\" height=\"170\" \/><br \/>\na. Use a graphing calculator to graph the function. At what pressure does the flow rate exceed 300 gallons per minute?<br \/>\nb. What happens to the average rate of change of the flow rate as the pressure increases?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41494\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-49.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 49\" width=\"583\" height=\"532\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-49.png 583w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-49-300x274.png 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p>Question 50<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nThe speed s (in meters per second) of a long jumper before jumping can be modeled by the function s = 10.9\\(\\sqrt{h}\\), where h is the maximum height (in meters from the ground) of the jumper.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33999\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-9.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 9\" width=\"294\" height=\"151\" \/><br \/>\na. Use a graphing calculator to graph the function. A jumper is running 9.2 meters per second. Estimate the maximum height of the jumper.<br \/>\nb. Suppose the runway and pit are raised on a platform slightly higher than the ground. How would the graph of the function be transformed?<br \/>\nAnswer:<\/p>\n<p>Question 51.<br \/>\n<strong>MATHEMATICAL CONNECTIONS<\/strong><br \/>\nThe radius r of a circle is given by r = \\(\\sqrt{\\frac{A}{\\pi}}\\), where A is the area of the circle.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34000\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-10.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 10\" width=\"119\" height=\"118\" \/><br \/>\na. Describe the domain of the function. Use a graphing calculator to graph the function.<br \/>\nb. Use the trace feature to approximate the area of a circle with a radius of 5.4 inches.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41495\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-51.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 51\" width=\"567\" height=\"472\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-51.png 567w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-51-300x250.png 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>Question 52.<br \/>\n<strong>REASONING<\/strong><br \/>\nConsider the function f(x) = 8a\\(\\sqrt{x}\\).<br \/>\na. For what value of a will the graph of f be identical to the graph of the parent square root function?<br \/>\nb. For what values of a will the graph of f be a vertical stretch of the graph of the parent square root function?<br \/>\nc. For what values of a will the graph of f be a vertical shrink and a reflection of the graph of the parent square root function?<br \/>\nAnswer:<\/p>\n<p>Question 53.<br \/>\n<strong>REASONING<\/strong><br \/>\nThe graph represents the function f(x) = \\(\\sqrt{x}\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34001\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-11.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 11\" width=\"128\" height=\"129\" \/><br \/>\na. What is the minimum value of the function?<br \/>\nb. Does the function have a maximum value? Explain.<br \/>\nc. Write a square root function that has a maximum value. Does the function have a minimum value? Explain.<br \/>\nd. Write a square root function that has a minimum value of -4.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41496\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-53.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 53\" width=\"586\" height=\"244\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-53.png 586w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-53-300x125.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/p>\n<p>Question 54.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nMatch each function with its graph. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34002\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-12.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 12\" width=\"194\" height=\"186\" \/><br \/>\nAnswer:<\/p>\n<p>Question 55.<br \/>\n<strong>REASONING<\/strong><br \/>\nWithout graphing, determine which function\u2019s graph rises more steeply, f(x) = 5\\(\\sqrt{x}\\) or g(x) = \\(\\sqrt{5x}\\). Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41497\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-55.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 55\" width=\"556\" height=\"178\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-55.png 556w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-55-300x96.png 300w\" sizes=\"(max-width: 556px) 100vw, 556px\" \/><\/p>\n<p>Question 56.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nUse a graphical approach to find the solutions of x &#8211; 1 = \\(\\sqrt{5x-9}\\). Show your work. Verify your solutions algebraically.<br \/>\nAnswer:<\/p>\n<p>Question 57.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nWrite a radical function that has a domain of all real numbers greater than or equal to -5 and a range of all real numbers less than or equal to 3.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41498\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-57.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 57\" width=\"521\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-57.png 521w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-57-300x35.png 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p>Evaluate the expression.(Section 6.2)<br \/>\nQuestion 58.<br \/>\n\\(\\sqrt [ 3]{ 343 }\\)<br \/>\nAnswer:<\/p>\n<p>Question 59.<br \/>\n\\(\\sqrt [ 3]{ -64 }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41499\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-59.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 59\" width=\"272\" height=\"70\" \/><\/p>\n<p>Question 60.<br \/>\n\\(-\\sqrt[3]{-\\frac{1}{27}}\\)<br \/>\nAnswer:<\/p>\n<p>Factor the polynomial.(Section 7.5)<br \/>\nQuestion 61.<br \/>\nx<sup>2<\/sup> + 7x + 6<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41500\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-61.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 61\" width=\"339\" height=\"160\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-61.png 339w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-61-300x142.png 300w\" sizes=\"(max-width: 339px) 100vw, 339px\" \/><\/p>\n<p>Question 62.<br \/>\nd<sup>2<\/sup> &#8211; 11d + 28<br \/>\nAnswer:<\/p>\n<p>Question 63.<br \/>\ny<sup>2<\/sup> &#8211; 3y &#8211; 40<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41501\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-63.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 10 Radical Functions and Equations 10.1 a 63\" width=\"570\" height=\"281\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-63.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-10-Radical-Functions-and-Equations-10.1-a-63-300x148.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<h3><a id=\"Lesson_10.2_Graphing_Cube_Roots_Functions\"><\/a>Lesson 10.2 Graphing Cube Roots Functions<\/h3>\n<p><strong>Essential Question<\/strong> What are some of the characteristics of the graph of a cube root function?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Graphing Cube Root Functions<br \/>\nWork with a partner.<\/p>\n<ul>\n<li>\u00a0Make a table of values for each function. Use positive and negative values of x.<\/li>\n<li>Use the table to sketch the graph of each function.\u2022 Describe the domain of each function.<\/li>\n<li>Describe the range of each function.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34003\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 1\" width=\"507\" height=\"198\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-1.png 507w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-1-300x117.png 300w\" sizes=\"(max-width: 507px) 100vw, 507px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Writing Cube Root Functions<br \/>\nWork with a partner. Write a cube root function, y = f(x), that has the given values. Then use the function to complete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34004\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 2\" width=\"717\" height=\"336\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-2.png 717w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-2-300x141.png 300w\" sizes=\"(max-width: 717px) 100vw, 717px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Communicate Your Answer<\/strong><\/p>\n<p>Question 3.<br \/>\nWhat are some of the characteristics of the graph of a cube root function?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nGraph each function. Then compare the graph to the graph of f (x) = \\(\\sqrt [ 3]{ x }\\) .<br \/>\na. g(x) = \\(\\sqrt [ 3]{ x-1 }\\)<br \/>\nb. g(x) = \\(\\sqrt [ 3]{ x-1 }\\)<br \/>\nc. g(x) = 2 \\(\\sqrt [ 3]{ x }\\)<br \/>\nd. g(x) = -2\\(\\sqrt [ 3]{ x }\\)<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p><strong>Graph the function. Compare the graph to the graph of f(x) = \\(\\sqrt [ 3]{ x }\\).<\/strong><br \/>\nQuestion 1.<br \/>\nh(x) = \\(\\sqrt [ 3]{ x }\\) + 3<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nm(x) = \\(\\sqrt [ 3]{ x }\\) &#8211; 5<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\ng(x) = 4\\(\\sqrt [ 3]{ x }\\)<br \/>\nAnswer:<\/p>\n<p><strong>Graph the function. Compare the graph to the graph of f(x) = \\(\\sqrt [ 3]{ x }\\).<\/strong><br \/>\nQuestion 4.<br \/>\ng(x) =\\(\\sqrt [3]{ 0.5x+5 }\\) + 5<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nh(x) = 4\\(\\sqrt [3]{ x }\\) &#8211; 1<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nn(x) = \\(\\sqrt [ 3]{ 4-x }\\)<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nLet g(x) = \\(-\\frac{1}{2} \\sqrt[3]{x+2}\\) &#8211; 4. Describe the transformations from the graph of f (x) = \\(\\sqrt [ 3]{ x }\\) to the graph of g. Then graph g.<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nIn Example 4, compare the average rates of change over the interval x = 2 to x = 10.<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n<strong>WHAT IF?<\/strong><br \/>\nEstimate the age of an elephant whose shoulder height is 175 centimeters.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Graphing_Cube_Roots_Functions_10.2_Exercises\"><\/a>Graphing Cube Roots Functions 10.2 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>COMPLETE THE SENTENCE<\/strong><br \/>\nThe __________ of the radical in a cube root function is 3.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41502\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 1\" width=\"489\" height=\"30\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-1.png 489w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-1-300x18.png 300w\" sizes=\"(max-width: 489px) 100vw, 489px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe the domain and range of the function f(x) = \\(\\sqrt [3]{ x-4 }\\) + 1.<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p><strong>In Exercises 3\u20136, match the function with its graph.<\/strong><br \/>\nQuestion 3.<br \/>\ny = 3\\(\\sqrt [3]{ x+2 }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41503\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 3\" width=\"554\" height=\"124\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-3.png 554w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-3-300x67.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/p>\n<p>Question 4.<br \/>\ny = 3\\(\\sqrt [3]{ x-2 }\\)<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\ny = 3\\(\\sqrt [3]{ x+2 }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41504\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 5\" width=\"556\" height=\"122\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-5.png 556w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-5-300x66.png 300w\" sizes=\"(max-width: 556px) 100vw, 556px\" \/><\/p>\n<p>Question 6.<br \/>\ny = \\(\\sqrt [3]{ x }\\) &#8211; 2<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34005\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 3\" width=\"339\" height=\"276\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-3.png 339w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-3-300x244.png 300w\" sizes=\"(max-width: 339px) 100vw, 339px\" \/><\/p>\n<p><strong>In Exercises 7\u201312, graph the function. Compare the graph to the graph of f(x) = \\(\\sqrt [ 3]{ x }\\).<\/strong><br \/>\nQuestion 7.<br \/>\nh(x) = \\(\\sqrt [3]{ x-4 }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41505\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-7.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 7\" width=\"517\" height=\"420\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-7.png 517w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-7-300x244.png 300w\" sizes=\"(max-width: 517px) 100vw, 517px\" \/><\/p>\n<p>Question 8.<br \/>\ng(x) = \\(\\sqrt [3]{ x+1 }\\)<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nm(x) = \\(\\sqrt [3]{ x+5 }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41506\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 9\" width=\"512\" height=\"384\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-9.png 512w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-9-300x225.png 300w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/p>\n<p>Question 10.<br \/>\nq(x) = \\(\\sqrt [3]{ x }\\) &#8211; 3<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\np(x) = 6\\(\\sqrt [3]{ x }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41507\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 11\" width=\"569\" height=\"428\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-11.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-11-300x226.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<p>Question 12.<br \/>\nj(x) = \\(\\sqrt[3]{\\frac{1}{2} x}\\)<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 13\u201316, compare the graphs. Find the value of h, k, or a.<\/strong><br \/>\nQuestion 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34006\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-4.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 4\" width=\"163\" height=\"136\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41508\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 13\" width=\"541\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-13.png 541w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-13-300x33.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34007\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 5\" width=\"187\" height=\"136\" \/><br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34008\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-6.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 6\" width=\"171\" height=\"166\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41509\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-15.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 15\" width=\"559\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-15.png 559w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-15-300x33.png 300w\" sizes=\"(max-width: 559px) 100vw, 559px\" \/><\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34009\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-7.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 7\" width=\"181\" height=\"162\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 17\u201326, graph the function. Compare the graph to the graph of f(x) = \\(\\sqrt [3]{ x }\\).<\/strong><br \/>\nQuestion 17.<br \/>\nr(x) = &#8211; \\(\\sqrt [3]{ x-2 }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41510\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-17.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 17\" width=\"552\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-17.png 552w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-17-300x249.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>Question 18.<br \/>\nh(x) = &#8211; 3\\(\\sqrt [3]{ x+3 }\\)<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\nk(x) = 5\\(\\sqrt [3]{ x+1 }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41511\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-19.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 19\" width=\"528\" height=\"449\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-19.png 528w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-19-300x255.png 300w\" sizes=\"(max-width: 528px) 100vw, 528px\" \/><\/p>\n<p>Question 20.<br \/>\nj(x) = 0.5\\(\\sqrt [3]{ x-4 }\\)<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\ng(x) = 4\\(\\sqrt [3]{ x }\\) &#8211; 3<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41512\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-21.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 21\" width=\"522\" height=\"449\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-21.png 522w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-21-300x258.png 300w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><\/p>\n<p>Question 22.<br \/>\nm(x) = 3\\(\\sqrt [3]{ x }\\) + 7<br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\nn(x) = \\(\\sqrt [3]{ -8x }\\) &#8211; 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41513\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-23.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 23\" width=\"558\" height=\"483\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-23.png 558w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-23-300x260.png 300w\" sizes=\"(max-width: 558px) 100vw, 558px\" \/><\/p>\n<p>Question 24.<br \/>\nv(x) =\\(\\sqrt [3]{ 5x }\\) + 2<br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\nq(x) = \\(\\sqrt[3]{2(x+3)}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41514\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-25.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 25\" width=\"547\" height=\"457\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-25.png 547w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-25-300x251.png 300w\" sizes=\"(max-width: 547px) 100vw, 547px\" \/><\/p>\n<p>Question 26.<br \/>\np(x) = \\(\\sqrt[3]{3(1-x)}\\)<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 27\u201332, describe the transformations from the graph of f(x) = \\(\\sqrt [3]{ x }\\) to the graph of the given function. Then graph the given function.<\/strong><br \/>\nQuestion 27.<br \/>\ng(x) = \\(\\sqrt [3]{ x-4 }\\) + 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41515\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-27.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 27.1\" width=\"570\" height=\"422\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-27.1.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-27.1-300x222.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41516\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-27.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 27.2\" width=\"254\" height=\"236\" \/><\/p>\n<p>Question 28.<br \/>\nn(x) = \\(\\sqrt [3]{ x+1 }\\) &#8211; 3<br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\nj(x) = -5\\(\\sqrt [3]{ x+3 }\\) + 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41517\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-29.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 29.1\" width=\"568\" height=\"420\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-29.1.png 568w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-29.1-300x222.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41518\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-29.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 29.2\" width=\"346\" height=\"285\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-29.2.png 346w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-29.2-300x247.png 300w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><\/p>\n<p>Question 30.<br \/>\nk(x) = 6\\(\\sqrt [3]{ x-9 }\\) &#8211; 5<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\nv(x) = \\(\\frac{1}{3} \\sqrt[3]{x-1}\\) + 7<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41519\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-31.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 31.1\" width=\"578\" height=\"436\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-31.1.png 578w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-31.1-300x226.png 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41520\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-31.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 31.2\" width=\"285\" height=\"237\" \/><\/p>\n<p>Question 32.<br \/>\nh(x) = -\\frac{3}{2} \\sqrt[3]{x+4} &#8211; 3<br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nDescribe and correct the error in graphing the function f(x) = \\(\\sqrt [3]{ x-3 }\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34010\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-8.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 8\" width=\"276\" height=\"119\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41521\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-33.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 33\" width=\"492\" height=\"408\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-33.png 492w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-33-300x249.png 300w\" sizes=\"(max-width: 492px) 100vw, 492px\" \/><\/p>\n<p>Question 34.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nDescribe and correct the error in graphing the function h(x) = \\(\\sqrt [3]{ x }\\) + 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34011\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 9\" width=\"269\" height=\"126\" \/><br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\n<strong>COMPARING FUNCTIONS<\/strong><br \/>\nThe graph of cube root function q is shown. Compare the average rate of change of q to the average rate of change of f(x) = 3\\(\\sqrt [3]{ x }\\) over the interval x = 0 to x = 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34012\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-10.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 10\" width=\"190\" height=\"152\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41522\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-35.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 35\" width=\"582\" height=\"476\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-35.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-35-300x245.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p>Question 36.<br \/>\n<strong>COMPARING FUNCTIONS<\/strong><br \/>\nThe graphs of two cube root functions are shown. Compare the average rates of change of the two functions over the interval x = -2 to x = 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34013\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 11\" width=\"187\" height=\"155\" \/><br \/>\nAnswer:<\/p>\n<p>Question 37.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nFor a drag race car that weighs 1600 kilograms, the velocity v (in kilometers per hour) reached by the end of a drag race can be modeled by the function v = 23.8\\(\\sqrt [3]{ p }\\), where p is the car\u2019s power (in horsepower). Use a graphing calculator to graph the function. Estimate the power of a 1600-kilogram car that reaches a velocity of 220 kilometers per hour.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41523\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-37.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 37\" width=\"567\" height=\"289\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-37.png 567w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-37-300x153.png 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>Question 38.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nThe radius r of a sphere is given by the function r = \\(\\sqrt[3]{\\frac{3}{4 \\pi}} V\\), where V is the volume of the sphere. Use a graphing calculator to graph the function. Estimate the volume of a spherical beach ball with a radius of 13 inches.<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nYour friend says that all cube root functions are odd functions. Is your friend correct? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41524\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-39.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 39\" width=\"577\" height=\"356\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-39.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-39-300x185.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Question 40.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nThe graph represents the cube root function f(x) = \\(\\sqrt [3]{ x }\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34014\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-12.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 12\" width=\"192\" height=\"118\" \/><br \/>\na. On what interval is f negative? positive?<br \/>\nb. On what interval, if any, is f decreasing? increasing?<br \/>\nc. Does f have a maximum or minimum value? Explain.<br \/>\nd. Find the average rate of change of f over the interval x = -1 to x = 1.<br \/>\nAnswer:<\/p>\n<p>Question 41.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nWrite a cube root function that passes through the point (3, 4) and has an average rate of change of -1 over the interval x = -5 to x = 2.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41525\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-41.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 41.1\" width=\"572\" height=\"466\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-41.1.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-41.1-300x244.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41526\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-41.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 41.2\" width=\"490\" height=\"280\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-41.2.png 490w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-41.2-300x171.png 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><\/p>\n<p>Question 42.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nWrite the cube root function represented by the graph. Use a graphing calculator to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34015\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 13\" width=\"159\" height=\"147\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p>Factor the polynomial.(Section 7.6)<br \/>\nQuestion 43.<br \/>\n3x<sup>2<\/sup> + 12x &#8211; 36<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41527\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-43.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 43\" width=\"449\" height=\"273\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-43.png 449w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-43-300x182.png 300w\" sizes=\"(max-width: 449px) 100vw, 449px\" \/><\/p>\n<p>Question 44.<br \/>\n2x<sup>2<\/sup> &#8211; 11x + 9<br \/>\nAnswer:<\/p>\n<p>Question 45.<br \/>\n4x<sup>2<\/sup> + 7x &#8211; 15<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41528\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-45.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 45.1\" width=\"521\" height=\"594\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-45.1.png 521w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-45.1-263x300.png 263w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41529\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-45.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 45.2\" width=\"470\" height=\"463\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-45.2.png 470w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-45.2-300x296.png 300w\" sizes=\"(max-width: 470px) 100vw, 470px\" \/><\/p>\n<p>Solve the equation using square roots.(Section 9.3)<br \/>\nQuestion 46.<br \/>\nx<sup>2<\/sup> &#8211; 36 = 0<br \/>\nAnswer:<\/p>\n<p>Question 47.<br \/>\n5x<sup>2<\/sup> + 20 = 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41530\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-47.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 47\" width=\"526\" height=\"240\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-47.png 526w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-47-300x137.png 300w\" sizes=\"(max-width: 526px) 100vw, 526px\" \/><\/p>\n<p>Question 48.<br \/>\n(x + 4)<sup>2<\/sup> &#8211; 81<br \/>\nAnswer:<\/p>\n<p>Question 49.<br \/>\n25(x &#8211; 2)<sup>2<\/sup> = 9<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41531\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-49.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 a 49\" width=\"514\" height=\"398\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-49.png 514w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-a-49-300x232.png 300w\" sizes=\"(max-width: 514px) 100vw, 514px\" \/><\/p>\n<h3><a id=\"Radical_Functions_and_Equations_Study_Skills:_Making_Note_Cards\"><\/a>Radical Functions and Equations Study Skills: Making Note Cards<\/h3>\n<p><strong>10.1\u201310.2 What Did YouLearn?<\/strong><\/p>\n<p><strong>Core Vocabulary<\/strong><br \/>\nsquare root function, p. 544<br \/>\nradical function, p. 545<br \/>\ncube root function, p. 552<\/p>\n<p><strong>Core Concepts<\/strong><br \/>\nLesson 10.1<br \/>\nSquare Root Functions, p. 544<br \/>\nTransformations of Square Root Functions, p. 545<br \/>\nComparing Square Root Functions Using Average Rates of Change, p. 546<\/p>\n<p>Lesson 10.2<br \/>\nCube Root Functions, p. 552<br \/>\nComparing Cube Root Functions<br \/>\nUsing Average Rates of Change, p. 554<\/p>\n<p><strong>Mathematical Practices<\/strong><\/p>\n<p>Question 1.<br \/>\nIn Exercise 45 on page 549, what information are you given? What relationships are present? What is your goal?<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nWhat units of measure did you use in your answer to Exercise 38 on page 556? Explain your reasoning.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Study_Skills:_Making_Note_Cards\"><\/a>Study Skills: Making Note Cards<\/h3>\n<p>Invest in three different colors of note cards. Use one color for each of the following: vocabulary words, rules, and calculator keystrokes.<\/p>\n<ul>\n<li>Using the first color of note cards, write a vocabulary word on one side of a card. On the other side, write the definition and an example. If possible, put the definition in your own words.<\/li>\n<li>Using the second color of note cards, write a rule on one side of a card. On the other side, write an explanation and an example.<\/li>\n<li>Using the third color of note cards, write a calculation on one side of a card. On the other side, write the keystrokes required to perform the calculation.<br \/>\nUse the note cards as references while completing your homework. Quiz yourself once a day.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34016\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-16.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations 10.2 16\" width=\"373\" height=\"277\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-16.png 373w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-10.2-16-300x223.png 300w\" sizes=\"(max-width: 373px) 100vw, 373px\" \/><\/li>\n<\/ul>\n<h3><a id=\"Radical_Functions_and_Equations_10.1\u201310.2_Quiz\"><\/a>Radical Functions and Equations 10.1\u201310.2 Quiz<\/h3>\n<p><strong>Describe the domain of the function.(Lesson 10.1)<\/strong><br \/>\nQuestion 1.<br \/>\ny = \\(\\sqrt{x-3}\\)<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nf(x) = 15\\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\ny = \\(\\sqrt{3-x}\\)<br \/>\nAnswer:<\/p>\n<p><strong>Graph the function. Describe the range. Compare the graph to the graph of f(x) = \\(\\sqrt{x}\\). (Lesson 10.1)<\/strong><br \/>\nQuestion 4.<br \/>\ng(x) = \\(\\sqrt{x}\\) + 5<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nn(x) = \\(\\sqrt{x-4}\\)<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nr(x) = &#8211;\\(\\sqrt{x-1}\\) + 1<br \/>\nAnswer:<\/p>\n<p><strong>Graph the function. Compare the graph to the graph of f(x) = \\(\\sqrt [3]{ x }\\). (Lesson 10.2)<\/strong><br \/>\nQuestion 7.<br \/>\nb(x) = \\(\\sqrt [3]{ x+2 }\\)<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nh(x) = -3\\(\\sqrt [3]{ x-6 }\\)<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nq(x) = \\(\\sqrt [3]{ -4-x }\\)<br \/>\nAnswer:<\/p>\n<p><strong>Compare the graphs. Find the value of h, k, or a. (Lesson 10.1 and Lesson 10.2)<\/strong><br \/>\nQuestion 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34017\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-q-10.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations q 10\" width=\"183\" height=\"156\" \/><br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34018\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-q-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations q 11\" width=\"167\" height=\"155\" \/><br \/>\nAnswer:<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34019\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-q-12.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations q 12\" width=\"205\" height=\"158\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Describe the transformations from the graph of f to the graph of h. Then graph h. (Section 10.1 and Section 10.2)<\/strong><br \/>\nQuestion 13.<br \/>\nf(x) = \\(\\sqrt{x}\\); h(x) = -3 \\(\\sqrt{x+2}\\) + 6<br \/>\nAnswer:<\/p>\n<p>Question 14.<br \/>\nf(x) = \\(\\sqrt[3]{x}\\); h(x) = \\(\\frac{1}{2} \\sqrt[3]{x}-3\\)<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\nThe time t (in seconds) it takes a dropped object to fall h feet is given by t = \\(\\frac{1}{4} \\sqrt{h}\\). (Section 10.1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34020\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-q-15.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations q 15\" width=\"269\" height=\"149\" \/><br \/>\na. Use a graphing calculator to graph the function. Describe the domain and range.<br \/>\nb. It takes about 7.4 seconds for a stone dropped from the New River Gorge Bridge in West Virginia to reach the water below. About how high is the bridge above the New River?<br \/>\nAnswer:<\/p>\n<p>Question 16.<br \/>\nThe radius r of a sphere is given by the function r = \\(\\sqrt[3]{\\frac{3}{4 \\pi} V}\\), where V is the volume of the sphere. Spaceship Earth is a spherical structure at Walt Disney World that has an inner radius of about 25 meters. Use a graphing calculator to graph the function. Estimate the volume of Spaceship Earth. (Section 10.2)<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\nThe graph of square root function g is shown. Compare the average rate of change of g to the average rate of change of h(x) = \\(\\sqrt[3]{\\frac{3}{2} x}\\)x over the interval x = 0 to x = 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34021\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations-q-17.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations q 17\" width=\"178\" height=\"136\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_10.3_Solving_Radical_Equations\"><\/a>Lesson 10.3 Solving Radical Equations<\/h3>\n<p><strong>Essential Question<\/strong> How can you solve an equation that contains square roots?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Analyzing a Free-Falling Object<br \/>\nWork with a partner. The table shows the time t (in seconds) that it takes a free-falling object (with no air resistance) to fall d feet.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34022\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 1\" width=\"386\" height=\"316\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-1.png 386w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-1-300x246.png 300w\" sizes=\"(max-width: 386px) 100vw, 386px\" \/><br \/>\na. Use the data in the table to sketch the graph of t as a function of d. Use the coordinate plane below.<br \/>\nb. Use your graph to estimate the time it takes the object to fall 240 feet.<br \/>\nc. The relationship between d and t is given by the function t = \\(\\sqrt{\\frac{d}{16}}\\).<br \/>\nUse this function to check your estimate in part (b).<br \/>\nd. It takes 5 seconds for the object to hit the ground. How far did it fall? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34023\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 2\" width=\"379\" height=\"146\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-2.png 379w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-2-300x116.png 300w\" sizes=\"(max-width: 379px) 100vw, 379px\" \/><\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Solving a Square Root Equation<br \/>\nWork with a partner. The speed s (in feet per second) of the free-falling object in Exploration 1 is given by the functions<br \/>\ns = \\(\\sqrt{64d}\\).<br \/>\nFind the distance the object has fallen when it reaches each speed.<br \/>\na. s = 8 ft\/sec<br \/>\nb. s = 16 ft\/sec<br \/>\nc. s = 24 ft\/sec<\/p>\n<p><strong>Communicate Your Answer<\/strong><\/p>\n<p>Question 3.<br \/>\nHow can you solve an equation that contains square roots?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nUse your answer to Question 3 to solve each equation.<br \/>\na. 5 = \\(\\sqrt{x}\\) + 20<br \/>\nb. 4 = \\(\\sqrt{x-18}\\)<br \/>\nc. \\(\\sqrt{x}\\) + 2 = 3<br \/>\nd. -3 = -2\\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p><strong>Solve the equation. Check your solution.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt{x}\\) = 6<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt{x}\\) &#8211; 7 = 3<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt{y}\\) + 15 = 22<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\n1 &#8211; \\(\\sqrt{c}\\) = -2<br \/>\nAnswer:<\/p>\n<p>Solve the equation. Check your solution.<br \/>\nQuestion 5.<br \/>\n\\(\\sqrt{x+4}\\) + 7 = 11<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\n15 = 6 + \\(\\sqrt{3w-9}\\)<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\n\\(\\sqrt{3x+1}\\) = \\(\\sqrt{4x-7}\\)<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\n\\(\\sqrt{n}\\) = \\(\\sqrt{5n-1}\\)<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n\\(\\sqrt [3]{ y }\\) = 4 = 1<br \/>\nAnswer:<\/p>\n<p>Question 10.<br \/>\n\\(\\sqrt [3]{ 3c+7 }\\) = 10<br \/>\nAnswer:<\/p>\n<p><strong>Solve the equation. Check your solution(s).<\/strong><br \/>\nQuestion 11.<br \/>\n\\(\\sqrt{4-3x}\\) = x<br \/>\nAnswer:<\/p>\n<p>Question 12.<br \/>\n\\(\\sqrt{3m}\\) + 10 = 1<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\np + 1 = \\(\\sqrt{7p+15}\\)<br \/>\nAnswer:<\/p>\n<p>Question 14.<br \/>\nWhat is the length of a pendulum that has a period of 2.5 seconds?<br \/>\nAnswer:<\/p>\n<h3><a id=\"Solving_Radical_Equations_10.3_Exercises\"><\/a>Solving Radical Equations 10.3 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>VOCABULARY<\/strong><br \/>\nWhy should you check every solution of a radical equation?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41532\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 1\" width=\"583\" height=\"84\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-1.png 583w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-1-300x43.png 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>WHICH ONE DOESN\u2019T BELONG?<\/strong><br \/>\nWhich equation does not belong with the other three? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34024\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-3.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 3\" width=\"517\" height=\"47\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-3.png 517w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-3-300x27.png 300w\" sizes=\"(max-width: 517px) 100vw, 517px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p><strong>In Exercises 3\u201312, solve the equation. Check your solution.<\/strong><br \/>\nQuestion 3.<br \/>\n\\(\\sqrt{x}\\) = 9<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41533\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-3.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 3\" width=\"443\" height=\"135\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-3.png 443w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-3-300x91.png 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><\/p>\n<p>Question 4.<br \/>\n\\(\\sqrt{x}\\) = 4<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n7 = \\(\\sqrt{x}\\) &#8211; 5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41534\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-5.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 5\" width=\"477\" height=\"202\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-5.png 477w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-5-300x127.png 300w\" sizes=\"(max-width: 477px) 100vw, 477px\" \/><\/p>\n<p>Question 6.<br \/>\n\\(\\sqrt{p}\\) &#8211; 7 = -1<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\n\\(\\sqrt{c}\\) + 12 = 23<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41535\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-7.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 7\" width=\"516\" height=\"203\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-7.png 516w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-7-300x118.png 300w\" sizes=\"(max-width: 516px) 100vw, 516px\" \/><\/p>\n<p>Question 8.<br \/>\n\\(\\sqrt{x}\\) + 6 = 8<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n4 &#8211; \\(\\sqrt{x}\\) = 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41536\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-9.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 9\" width=\"500\" height=\"274\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-9.png 500w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-9-300x164.png 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>Question 10.<br \/>\n-8 = 7 = \\(\\sqrt{r}\\)<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n3\\(\\sqrt{y}\\) &#8211; 18 = -3<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41537\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-11.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 11\" width=\"542\" height=\"298\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-11.png 542w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-11-300x165.png 300w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><\/p>\n<p>Question 12.<br \/>\n2\\(\\sqrt{q}\\) + 5 = 11<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 13\u201320, solve the equation. Check your solution.<\/strong><br \/>\nQuestion 13.<br \/>\n\\(\\sqrt{a-3}\\) + 5 = 9<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41538\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-13.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 13\" width=\"532\" height=\"296\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-13.png 532w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-13-300x167.png 300w\" sizes=\"(max-width: 532px) 100vw, 532px\" \/><\/p>\n<p>Question 14.<br \/>\n\\(\\sqrt{b+7}\\) &#8211; 5 = -2<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n2 \\(\\sqrt{x+4}\\) = 16<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41539\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-15.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 15\" width=\"523\" height=\"317\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-15.png 523w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-15-300x182.png 300w\" sizes=\"(max-width: 523px) 100vw, 523px\" \/><\/p>\n<p>Question 16.<br \/>\n5\\(\\sqrt{y-2}\\) = 10<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n-1 = \\(\\sqrt{5r+1}\\) &#8211; 7<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41540\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-17.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 17\" width=\"554\" height=\"376\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-17.png 554w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-17-300x204.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/p>\n<p>Question 18.<br \/>\n2 = \\(\\sqrt{4s-4}\\) &#8211; 4<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n7 + 3\\(\\sqrt{3p-9}\\) = 25<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41541\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-19.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 19\" width=\"567\" height=\"506\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-19.png 567w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-19-300x268.png 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>Question 20.<br \/>\n19 &#8211; 4\\(\\sqrt{3c-11}\\) = 11<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nThe Cave of Swallows is a natural open-air pit cave in the state of San Luis Potos\u00ed, Mexico. The 1220-foot- deep cave was a popular destination for BASE jumpers. The function t = \\(\\frac{1}{4} \\sqrt{d}\\) represents the time t (in seconds) that it takes a BASE jumper to fall d feet. How far does a BASE jumper fall in 3 seconds?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34025\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-4.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 4.1\" width=\"162\" height=\"175\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41542\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-21.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 21\" width=\"574\" height=\"270\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-21.png 574w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-21-300x141.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/p>\n<p>Question 22.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nThe edge length s of a cube with a surface area of A is given by s = \\(\\sqrt{\\frac{A}{6}}\\). What is the surface area of a cube with an edge length of 4 inches?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34026\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-4.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 4\" width=\"126\" height=\"123\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 23\u201326, use the graph to solve the equation.<\/strong><br \/>\nQuestion 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34027\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-5.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 5\" width=\"165\" height=\"159\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41543\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-23.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 23\" width=\"562\" height=\"56\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-23.png 562w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-23-300x30.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Question 24.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34028\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-6.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 6\" width=\"166\" height=\"166\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-6.png 166w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-6-150x150.png 150w\" sizes=\"(max-width: 166px) 100vw, 166px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34029\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-7.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 7\" width=\"142\" height=\"170\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41544\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-25.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 25\" width=\"563\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-25.png 563w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-25-300x31.png 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/p>\n<p>Question 26.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34030\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-8.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 8\" width=\"166\" height=\"176\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 27\u201334, solve the equation. Check your solution. (See Example 3.)<\/strong><br \/>\nQuestion 27.<br \/>\n\\(\\sqrt{2x-9}\\) = \\(\\sqrt{x}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41545\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-27.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 27\" width=\"516\" height=\"285\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-27.png 516w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-27-300x166.png 300w\" sizes=\"(max-width: 516px) 100vw, 516px\" \/><\/p>\n<p>Question 28.<br \/>\n\\(\\sqrt{y+1}\\) = \\(\\sqrt{4y-8}\\)<br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n\\(\\sqrt{3g+1}\\) = \\(\\sqrt{7g-19}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41546\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-29.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 29\" width=\"332\" height=\"546\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-29.png 332w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-29-182x300.png 182w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><\/p>\n<p>Question 30.<br \/>\n\\(\\sqrt{8h-7}\\) = \\(\\sqrt{6h+7}\\)<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n\\(\\sqrt{\\frac{p}{2}-2}\\) = \\(\\sqrt{p-8}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41547\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-31.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 31\" width=\"565\" height=\"465\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-31.png 565w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-31-300x247.png 300w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><\/p>\n<p>Question 32.<br \/>\n\\(\\sqrt{2v-5}\\) = \\(\\sqrt{\\frac{v}{3}+5}\\)<br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n\\(\\sqrt{2c+1}\\) = \\(\\sqrt{4c}\\) = 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41548\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-33.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 33\" width=\"566\" height=\"437\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-33.png 566w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-33-300x232.png 300w\" sizes=\"(max-width: 566px) 100vw, 566px\" \/><\/p>\n<p>Question 34.<br \/>\n\\(\\sqrt{5r}\\) &#8211; \\(\\sqrt{8r-2}\\) = 0<br \/>\nAnswer:<\/p>\n<p><strong>MATHEMATICAL CONNECTIONS In Exercises 35 and 36, find the value of x.<\/strong><br \/>\nQuestion 35.<br \/>\nPerimeter = 22 cm<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34031\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-9.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 9\" width=\"149\" height=\"130\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41549\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-35.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 35\" width=\"560\" height=\"523\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-35.png 560w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-35-300x280.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/p>\n<p>Question 36.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34032\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-10.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 10\" width=\"142\" height=\"168\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 37\u201344, solve the equation. Check your solution.<\/strong><br \/>\nQuestion 37.<br \/>\n\\(\\sqrt [3]{ x }\\) = 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41550\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-37.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 37\" width=\"485\" height=\"137\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-37.png 485w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-37-300x85.png 300w\" sizes=\"(max-width: 485px) 100vw, 485px\" \/><\/p>\n<p>Question 38.<br \/>\n\\(\\sqrt [3]{ y }\\) = 2<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\n6 = 3\\(\\sqrt [3]{ 8g }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41551\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-39.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 39\" width=\"512\" height=\"238\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-39.png 512w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-39-300x139.png 300w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/p>\n<p>Question 40.<br \/>\n\\(\\sqrt [3]{ r+19 }\\) = 3<br \/>\nAnswer:<\/p>\n<p>Question 41.<br \/>\n\\(\\sqrt [3]{ 2x+9 }\\) = -3<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41552\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-41.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 41\" width=\"495\" height=\"299\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-41.png 495w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-41-300x181.png 300w\" sizes=\"(max-width: 495px) 100vw, 495px\" \/><\/p>\n<p>Question 42.<br \/>\n-5 = \\(\\sqrt [3]{ 10x+15 }\\)<br \/>\nAnswer:<\/p>\n<p>Question 43.<br \/>\n\\(\\sqrt [3]{ y+6 }\\) = \\(\\sqrt [3]{ 5y-2 }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41553\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-43.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 43\" width=\"561\" height=\"369\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-43.png 561w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-43-300x197.png 300w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/p>\n<p>Question 44.<br \/>\n\\(\\sqrt [3]{ 7j-2 }\\) = \\(\\sqrt [3]{ j+4 }\\)<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 45\u201348, determine which solution, if any, is an extraneous solution.<\/strong><br \/>\nQuestion 45.<br \/>\n\\(\\sqrt{6x-5}\\) = x; x = 5, x = 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41554\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-45.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 45\" width=\"554\" height=\"238\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-45.png 554w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-45-300x129.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/p>\n<p>Question 46.<br \/>\n\\(\\sqrt{2y+3}\\) = y; y = -1, y = 3<br \/>\nAnswer:<\/p>\n<p>Question 47.<br \/>\n\\(\\sqrt{12p+16}\\) = -2p; p = -1, p = 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41555\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-47.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 47\" width=\"557\" height=\"235\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-47.png 557w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-47-300x127.png 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><\/p>\n<p>Question 48.<br \/>\n-3g = \\(\\sqrt{-18-27}\\); g = -2, g = -1<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 49\u201358, solve the equation. Check your solution(s).<\/strong><br \/>\nQuestion 49.<br \/>\ny = \\(\\sqrt{5y-4}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41556\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-49.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 49\" width=\"565\" height=\"387\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-49.png 565w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-49-300x205.png 300w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><\/p>\n<p>Question 50.<br \/>\n\\(\\sqrt{-14x-9x}\\) = x<br \/>\nAnswer:<\/p>\n<p>Question 51.<br \/>\n\\(\\sqrt{1-3a}\\) = 2a<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41557\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-51.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 51.1\" width=\"367\" height=\"423\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-51.1.png 367w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-51.1-260x300.png 260w\" sizes=\"(max-width: 367px) 100vw, 367px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41558\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-51.2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 51.2\" width=\"575\" height=\"588\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-51.2.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-51.2-293x300.png 293w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 52.<br \/>\n2q = \\(\\sqrt{10q-6}\\)<br \/>\nAnswer:<\/p>\n<p>Question 53.<br \/>\n9 + \\(\\sqrt{5p}\\) = 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41559\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-53.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 53\" width=\"570\" height=\"325\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-53.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-53-300x171.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p>Question 54.<br \/>\n\\(\\sqrt{3n}\\) &#8211; 11 = -5<br \/>\nAnswer:<\/p>\n<p>Question 55.<br \/>\n\\(\\sqrt{2m+2}\\) &#8211; 3 = 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41560\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-55.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 55\" width=\"534\" height=\"360\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-55.png 534w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-55-300x202.png 300w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><\/p>\n<p>Question 56.<br \/>\n15 + \\(\\sqrt{4b-8}\\) = 13<br \/>\nAnswer:<\/p>\n<p>Question 57.<br \/>\nr + 4 = \\(\\sqrt{-4r-19}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41561\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-57.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 57.1\" width=\"459\" height=\"621\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-57.1.png 459w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-57.1-222x300.png 222w\" sizes=\"(max-width: 459px) 100vw, 459px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41562\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-57.2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 57.2\" width=\"571\" height=\"117\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-57.2.png 571w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-57.2-300x61.png 300w\" sizes=\"(max-width: 571px) 100vw, 571px\" \/><\/p>\n<p>Question 58.<br \/>\n\\(\\sqrt{3-s}\\) = s &#8211; 1<br \/>\nAnswer:<\/p>\n<p><strong>ERROR ANALYSIS In Exercises 59 and 60, describe and correct the error in solving the equation.<\/strong><br \/>\nQuestion 59.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34033\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-11.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 11\" width=\"229\" height=\"112\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41563\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-59.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 59\" width=\"549\" height=\"322\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-59.png 549w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-59-300x176.png 300w\" sizes=\"(max-width: 549px) 100vw, 549px\" \/><\/p>\n<p>Question 60.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34034\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-12.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 12\" width=\"288\" height=\"159\" \/><br \/>\nAnswer:<\/p>\n<p>Question 61.<br \/>\n<strong>REASONING<\/strong><br \/>\nExplain how to use mental math to solve \\(\\sqrt{2x}\\) + 5 = 1.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41564\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-61.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 61\" width=\"555\" height=\"114\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-61.png 555w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-61-300x62.png 300w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><\/p>\n<p>Question 62.<br \/>\n<strong>WRITING<\/strong><br \/>\nExplain how you would solve \\(\\sqrt [4]{ m+4 }\\) &#8211; \\(\\sqrt [4]{ 3m }\\) = 0.<br \/>\nAnswer:<\/p>\n<p>Question 63.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nThe formula V = \\(\\sqrt{PR}\\) relates the voltage V (in volts), power P (in watts), and resistance R (in ohms) of an electrical circuit. The hair dryer shown is on a 120-volt circuit. Is the resistance of the hair dryer half as much as the resistance of the same hair dryer on a 240-volt circuit? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34035\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-13.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 13\" width=\"233\" height=\"149\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41565\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-63.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 63\" width=\"509\" height=\"302\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-63.png 509w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-63-300x178.png 300w\" sizes=\"(max-width: 509px) 100vw, 509px\" \/><\/p>\n<p>Question 64.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nThe time t (in seconds) it takes a trapeze artist to swing back and forth is represented by the function t = 2\u03c0 \\(\\sqrt{\\frac{r}{32}}\\), where r is the rope length (in feet). It takes the trapeze artist 6 seconds to swing back and forth. Is this rope \\(\\frac{3}{2}\\) as long as the rope used when it takes the trapeze artist 4 seconds to swing back and forth? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34036\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-14.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 14\" width=\"141\" height=\"170\" \/><br \/>\nAnswer:<\/p>\n<p><strong>REASONING In Exercises 65\u201368, determine whether the statement is true or false. If it is false, explain why.<\/strong><br \/>\nQuestion 65.<br \/>\nIf \\(\\sqrt{a}\\) = b, then (\\(\\sqrt{a}\\))<sup>2<\/sup> = b<sup>2<\/sup>.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41566\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-65.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 65\" width=\"521\" height=\"58\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-65.png 521w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-65-300x33.png 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/p>\n<p>Question 66.<br \/>\nIf \\(\\sqrt{a}\\) = \\(\\sqrt{b}\\), then a = b.<br \/>\nAnswer:<\/p>\n<p>Question 67.<br \/>\nIf a<sup>2<\/sup> = b<sup>2<\/sup>, then a = b.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41567\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-67.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 67\" width=\"588\" height=\"204\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-67.png 588w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-67-300x104.png 300w\" sizes=\"(max-width: 588px) 100vw, 588px\" \/><\/p>\n<p>Question 68.<br \/>\nIf a<sup>2<\/sup> = \\(\\sqrt{b}\\), then a<sup>4<\/sup> = (\\(\\sqrt{b}\\))<sup>2<\/sup><br \/>\nAnswer:<\/p>\n<p>Question 69.<br \/>\n<strong>COMPARING METHODS<\/strong><br \/>\nConsider the equation x + 2 = \\(\\sqrt{2x-3}\\).<br \/>\na. Solve the equation by graphing. Describe the process.<br \/>\nb. Solve the equation algebraically. Describe the process.<br \/>\nc. Which method do you prefer? Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41568\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-69.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 69.1\" width=\"586\" height=\"532\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-69.1.png 586w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-69.1-300x272.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41569\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-69.2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 69.2\" width=\"571\" height=\"426\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-69.2.png 571w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-69.2-300x224.png 300w\" sizes=\"(max-width: 571px) 100vw, 571px\" \/><\/p>\n<p>Question 70.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nThe graph shows two radical functions.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34037\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-15.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 15\" width=\"204\" height=\"135\" \/><br \/>\na. Write an equation whose solution is the x-coordinate of the point of intersection of the graphs.<br \/>\nb. Use the graph to solve the equation.<br \/>\nAnswer:<\/p>\n<p>Question 71.<br \/>\n<strong>MATHEMATICAL CONNECTIONS<\/strong><br \/>\nThe slant height s of a cone with a radius of r and a height of h is given by s = \\(\\sqrt{r^{2}+h^{2}}\\). The slant heights of the two cones are equal. Find the radius of each cone.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34038\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-16.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 16\" width=\"328\" height=\"136\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-16.png 328w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-16-300x124.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41570\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-71.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 71\" width=\"573\" height=\"513\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-71.png 573w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-71-300x269.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/p>\n<p>Question 72.<br \/>\n<strong>CRITICAL THINKING<\/strong><br \/>\nHow is squaring \\(\\sqrt{x+2}\\) different from squaring \\(\\sqrt{x}\\) + 2?<br \/>\nAnswer:<\/p>\n<p><strong>USING STRUCTURE In Exercises 73\u201378, solve the equation. Check your solution.<\/strong><br \/>\nQuestion 73.<br \/>\n\\(\\sqrt{m+15}\\) = \\(\\sqrt{m}\\) + \\(\\sqrt{5}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41571\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-73.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 73.1\" width=\"502\" height=\"443\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-73.1.png 502w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-73.1-300x265.png 300w\" sizes=\"(max-width: 502px) 100vw, 502px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41572\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-73.2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 73.2\" width=\"332\" height=\"255\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-73.2.png 332w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-73.2-300x230.png 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><\/p>\n<p>Question 74.<br \/>\n2 = \\(\\sqrt{x+1}\\) = \\(\\sqrt{x+2}\\)<br \/>\nAnswer:<\/p>\n<p>Question 75.<br \/>\n\\(\\sqrt{5y+9}\\) + \\(\\sqrt{5y}\\) = 9<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41573\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-75.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 75.1\" width=\"525\" height=\"592\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-75.1.png 525w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-75.1-266x300.png 266w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41574\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-75.2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 75.2\" width=\"363\" height=\"268\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-75.2.png 363w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-75.2-300x221.png 300w\" sizes=\"(max-width: 363px) 100vw, 363px\" \/><\/p>\n<p>Question 76.<br \/>\n\\(\\sqrt{2c-8}\\) &#8211; \\(\\sqrt{2c}\\) &#8211; 4 = 0<br \/>\nAnswer:<\/p>\n<p>Question 77.<br \/>\n2\\(\\sqrt{1+4h}\\) &#8211; 4\\(\\sqrt{h}\\) &#8211; 2 = 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41575\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-77.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 77.1\" width=\"588\" height=\"589\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-77.1.png 588w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-77.1-300x300.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-77.1-150x150.png 150w\" sizes=\"(max-width: 588px) 100vw, 588px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41576\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-77.2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 77.2\" width=\"385\" height=\"306\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-77.2.png 385w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-77.2-300x238.png 300w\" sizes=\"(max-width: 385px) 100vw, 385px\" \/><\/p>\n<p>Question 78.<br \/>\n\\(\\sqrt{20-4z}\\) + 2\\(\\sqrt{-z}\\) = 10<br \/>\nAnswer:<\/p>\n<p>Question 79.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nWrite a radical equation that has a solution of x = 5.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41577\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-79.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 79\" width=\"565\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-79.png 565w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-79-300x38.png 300w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><\/p>\n<p>Question 80.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nWrite a radical equation that has x = 3 and x = 4 as solutions.<br \/>\nAnswer:<\/p>\n<p>Question 81.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nYour friend says the equation \\(\\sqrt{(2 x+5)^{2}}\\) = 2x + 5 is always true, because after simplifying the left side of the equation, the result is an equation with infinitely many solutions. Is your friend correct? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41578\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-81.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 81\" width=\"575\" height=\"301\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-81.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-81-300x157.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 82.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nSolve the equation \\(\\sqrt [3]{ x+1 }\\) = \\(\\sqrt{x-3}\\). Show your work and explain your steps.<br \/>\nAnswer:<\/p>\n<p>Question 83.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nThe frequency f (in cycles per second) of a string of an electric guitar is given by the equation f = \\(\\frac{1}{2 \\ell} \\sqrt{\\frac{T}{m}}\\), where \u2113 is the length of the string (in meters), T is the string\u2019s tension (in newtons), and m is the string\u2019s mass per unit length (in kilograms per meter). The high E string of an electric guitar is 0.64 meter long with a mass per unit length of 0.000401 kilogram per meter.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34039\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-17.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 17\" width=\"89\" height=\"217\" \/><br \/>\na. How much tension is required to produce a frequency of about 330 cycles per second?<br \/>\nb. Would you need more or less tension to create the same frequency on a string with greater mass per unit length? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41579\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-83.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 83.1\" width=\"522\" height=\"567\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-83.1.png 522w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-83.1-276x300.png 276w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41580\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-83.2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 83.2\" width=\"562\" height=\"112\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-83.2.png 562w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-83.2-300x60.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p>Find the product.(Section 7.2)<br \/>\nQuestion 84.<br \/>\n(x + 8)(x &#8211; 2)<br \/>\nAnswer:<\/p>\n<p>Question 85.<br \/>\n(3p &#8211; 1)(4p + 5)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41581\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-85.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 85\" width=\"502\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-85.png 502w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-85-300x60.png 300w\" sizes=\"(max-width: 502px) 100vw, 502px\" \/><\/p>\n<p>Question 86.<br \/>\n(s + 2)(s<sup>2<\/sup> + 3s &#8211; 4)<br \/>\nAnswer:<\/p>\n<p>Graph the function. Compare the graph to the graph of f(x) = x<sup>2<\/sup>.(Section 8.1)<br \/>\nQuestion 87.<br \/>\nr(x) = 3x<sup>2<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41582\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-87.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 87\" width=\"585\" height=\"494\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-87.png 585w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-87-300x253.png 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><\/p>\n<p>Question 88.<br \/>\ng(x) = \\(\\frac{3}{4}\\)x<sup>2<\/sup><br \/>\nAnswer:<\/p>\n<p>Question 89.<br \/>\nh(x) = -5x<sup>2<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41583\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-89.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 10 Radical Functions and Equations 10.3 a 89\" width=\"582\" height=\"531\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-89.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-10-Radical-Functions-and-Equations-10.3-a-89-300x274.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<h3><a id=\"Lesson_10.4_Inverse_of_a_Function\"><\/a>Lesson 10.4 Inverse of a Function<\/h3>\n<p><strong>Essential Question<\/strong> How are a function and its inverse related?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Exploring Inverse Functions<br \/>\nWork with a partner. The functions f and g are inverses of each other. Compare the tables of values of the two functions. How are the functions related?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34040\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 1\" width=\"500\" height=\"153\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-1.png 500w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-1-300x92.png 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Exploring Inverse Functions<br \/>\nWork with a partner.<br \/>\na. Plot the two sets of points represented by the tables in Exploration 1. Use the coordinate plane below.<br \/>\nb. Connect each set of points with a smooth curve.<br \/>\nc. Describe the relationship between the two graphs.<br \/>\nd. Write an equation for each function.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34041\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 2\" width=\"247\" height=\"230\" \/><\/p>\n<p><strong>Communicate Your Answer<\/strong><\/p>\n<p>Question 3.<br \/>\nHow are a function and its inverse related?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nA table of values for a function f is given. Create a table of values for a function g, the inverse of f.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34042\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-3.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 3\" width=\"478\" height=\"65\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-3.png 478w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-3-300x41.png 300w\" sizes=\"(max-width: 478px) 100vw, 478px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nSketch the graphs of f(x) = x + 4 and its inverse in the same coordinate plane. Then write an equation of the inverse of f. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34043\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-4.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 4\" width=\"220\" height=\"140\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p><strong>Find the inverse of the relation.<\/strong><br \/>\nQuestion 1.<br \/>\n(-3, -4), (-2, 0), (-1, 4), (0, 8), (1, 12), (2, 16), (3, 20)<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34044\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-5.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 5\" width=\"277\" height=\"72\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Solve y = f(x) for x. Then find the input when the output is 4.<\/strong><br \/>\nQuestion 3.<br \/>\nf(x) = x &#8211; 6<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nf(x) = \\(\\frac{1}{2}\\)x + 3<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nf(x) = 4x<sup>2<\/sup><br \/>\nAnswer:<\/p>\n<p><strong>Find the inverse of the function. Then graph the function and its inverse.<\/strong><br \/>\nQuestion 6.<br \/>\nf(x) = 6x<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nf(x) = -x + 5<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nf(x) = \\(\\frac{1}{4}\\)x &#8211; 1<br \/>\nAnswer:<\/p>\n<p><strong>Find the inverse of the function. Then graph the function and its inverse.<\/strong><br \/>\nQuestion 9.<br \/>\nf(x) = -x<sup>2<\/sup>, x \u2264 0<br \/>\nAnswer:<\/p>\n<p>Question 10.<br \/>\nf(x) = 4x<sup>2<\/sup> + 3, x \u2265 0<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nIs the inverse of f(x) = \\(\\sqrt{2x-1}\\) a function? Find the inverse.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Inverse_of_a_Function_10.4_Exercises\"><\/a>Inverse of a Function 10.4 Exercises<\/h3>\n<p><strong>Vocabulary and Core ConceptCheck<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>COMPLETE THE SENTENCE<\/strong><br \/>\nA relation contains the point (-3, 10). The ____________ contains the point (10, -3).<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41584\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 1\" width=\"542\" height=\"58\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-1.png 542w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-1-300x32.png 300w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>DIFFERENT WORDS, SAME QUESTION<\/strong><br \/>\nConsider the function f represented by the graph. Which is different? Find \u201cboth\u201d answers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34045\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-6.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 6\" width=\"624\" height=\"200\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-6.png 624w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-6-300x96.png 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 3\u20138, find the inverse of the relation.<\/strong><br \/>\nQuestion 3.<br \/>\n(1, 0), (3, -8), (4, -3), (7, -5), (9, -1)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41585\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-3.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 3\" width=\"393\" height=\"126\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-3.png 393w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-3-300x96.png 300w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><\/p>\n<p>Question 4.<br \/>\n(2, 1), (4, -3), (6, 7), (8, 1), (10, -4)<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34046\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-7.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 7\" width=\"275\" height=\"65\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41586\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-5.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 5\" width=\"373\" height=\"93\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-5.png 373w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-5-300x75.png 300w\" sizes=\"(max-width: 373px) 100vw, 373px\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34047\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-8.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 8\" width=\"280\" height=\"64\" \/><br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34048\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-9.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 9\" width=\"151\" height=\"157\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41587\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-7.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 7\" width=\"267\" height=\"257\" \/><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34049\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-10.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 10\" width=\"148\" height=\"173\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 9\u201314, solve y = f(x) for x. Then find the input when the output is 2.<\/strong><br \/>\nQuestion 9.<br \/>\nf(x) = x + 5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41588\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-9.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 9\" width=\"415\" height=\"324\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-9.png 415w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-9-300x234.png 300w\" sizes=\"(max-width: 415px) 100vw, 415px\" \/><\/p>\n<p>Question 10.<br \/>\nf(x) = 2x &#8211; 3<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nf(x) = \\(\\frac{1}{4}\\)x &#8211; 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41589\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-11.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 11\" width=\"398\" height=\"470\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-11.png 398w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-11-254x300.png 254w\" sizes=\"(max-width: 398px) 100vw, 398px\" \/><\/p>\n<p>Question 12.<br \/>\nf(x) = \\(\\frac{2}{3}\\)x + 4<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\nf(x) = 9x<sup>2<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41590\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-13.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 13\" width=\"476\" height=\"583\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-13.png 476w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-13-245x300.png 245w\" sizes=\"(max-width: 476px) 100vw, 476px\" \/><\/p>\n<p>Question 14.<br \/>\nf(x) = \\(\\frac{1}{2}\\)x<sup>2<\/sup> &#8211; 7<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 15 and 16, graph the inverse of the function by reflecting the graph in the line y = x. Describe the domain and range of the inverse.<\/strong><br \/>\nQuestion 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34050\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-11.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 11\" width=\"195\" height=\"149\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41591\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-15.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 15\" width=\"564\" height=\"480\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-15.png 564w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-15-300x255.png 300w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/><\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34051\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-12.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 12\" width=\"189\" height=\"154\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 17\u201322, find the inverse of the function. Then graph the function and its inverse.<\/strong><br \/>\nQuestion 17.<br \/>\nf(x) = 4x &#8211; 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41592\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-17.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 17\" width=\"507\" height=\"652\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-17.png 507w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-17-233x300.png 233w\" sizes=\"(max-width: 507px) 100vw, 507px\" \/><\/p>\n<p>Question 18.<br \/>\nf(x) = -2x + 5<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\nf(x) = -3x &#8211; 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41593\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-19.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 19\" width=\"550\" height=\"649\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-19.png 550w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-19-254x300.png 254w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><\/p>\n<p>Question 20.<br \/>\nf(x) = 2x + 3<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\nf(x) =\\(\\frac{1}{3}\\)x + 8<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41594\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-21.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 21\" width=\"365\" height=\"642\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-21.png 365w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-21-171x300.png 171w\" sizes=\"(max-width: 365px) 100vw, 365px\" \/><\/p>\n<p>Question 22.<br \/>\nf(x) = &#8211; \\(\\frac{3}{2}\\)x + \\(\\frac{7}{2}\\)<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 23\u201328, find the inverse of the function. Then graph the function and its inverse.<\/strong><br \/>\nQuestion 23.<br \/>\nf(x) = 4x<sup>2<\/sup>, x \u2265 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41595\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-23.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 23.1\" width=\"569\" height=\"584\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-23.1.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-23.1-292x300.png 292w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41596\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-23.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 23\" width=\"346\" height=\"330\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-23.png 346w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-23-300x286.png 300w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><\/p>\n<p>Question 24.<br \/>\nf(x) = \\(\\frac{2}{25}\\)x<sup>2<\/sup>, x \u2264 0<br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\nf(x) = -x<sup>2<\/sup> + 10, x \u2264 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41597\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-25.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 25.1\" width=\"563\" height=\"625\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-25.1.png 563w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-25.1-270x300.png 270w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41598\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-25.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 25.2\" width=\"331\" height=\"327\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-25.2.png 331w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-25.2-300x296.png 300w\" sizes=\"(max-width: 331px) 100vw, 331px\" \/><\/p>\n<p>Question 26.<br \/>\nf(x) = 2x<sup>2<\/sup> + 6, x \u2265 0<br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\nf(x) = \\(\\frac{1}{9}\\)x<sup>2<\/sup> + 2, x \u2265 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41599\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-27.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 27.1\" width=\"577\" height=\"588\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-27.1.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-27.1-294x300.png 294w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41600\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-27.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 27.2\" width=\"345\" height=\"331\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-27.2.png 345w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-27.2-300x288.png 300w\" sizes=\"(max-width: 345px) 100vw, 345px\" \/><\/p>\n<p>Question 28.<br \/>\nf(x) = -4x<sup>2<\/sup> &#8211; 8, x \u2264 0<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 29\u201332, use the Horizontal Line Test to determine whether the inverse of f is a function.<\/strong><br \/>\nQuestion 29.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34052\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-13.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 13\" width=\"134\" height=\"137\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41601\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-29.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 29\" width=\"557\" height=\"87\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-29.png 557w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-29-300x47.png 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><\/p>\n<p>Question 30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34053\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-14.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 14\" width=\"175\" height=\"141\" \/><br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34054\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-15.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 15\" width=\"139\" height=\"136\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41602\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-31.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 31\" width=\"523\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-31.png 523w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-31-300x34.png 300w\" sizes=\"(max-width: 523px) 100vw, 523px\" \/><\/p>\n<p>Question 32.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34055\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-16.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 16\" width=\"187\" height=\"136\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 33\u201342, determine whether the inverse of f is a function. Then find the inverse.<\/strong><br \/>\nQuestion 33.<br \/>\nf(x) = \\(\\sqrt{x+3}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41603\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-33.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 33.1\" width=\"565\" height=\"370\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-33.1.png 565w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-33.1-300x196.png 300w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41604\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-33.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 33.2\" width=\"574\" height=\"337\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-33.2.png 574w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-33.2-300x176.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/p>\n<p>Question 34.<br \/>\nf(x) = \\(\\sqrt{x-5}\\)<br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\nf(x) = \\(\\sqrt{2x-6}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41605\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-35.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 35.1\" width=\"532\" height=\"574\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-35.1.png 532w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-35.1-278x300.png 278w\" sizes=\"(max-width: 532px) 100vw, 532px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41606\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-35.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 35.2\" width=\"520\" height=\"292\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-35.2.png 520w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-35.2-300x168.png 300w\" sizes=\"(max-width: 520px) 100vw, 520px\" \/><\/p>\n<p>Question 36.<br \/>\nf(x) = \\(\\sqrt{4x+1}\\)<br \/>\nAnswer:<\/p>\n<p>Question 37.<br \/>\nf(x) = 3\\(\\sqrt{x-8}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41607\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-37.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 37.1\" width=\"537\" height=\"563\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-37.1.png 537w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-37.1-286x300.png 286w\" sizes=\"(max-width: 537px) 100vw, 537px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41608\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-37.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 37.2\" width=\"526\" height=\"244\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-37.2.png 526w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-37.2-300x139.png 300w\" sizes=\"(max-width: 526px) 100vw, 526px\" \/><\/p>\n<p>Question 38.<br \/>\nf(x) = &#8211;\\(\\frac{1}{4} \\sqrt{5 x+2}\\)<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\nf(x) = &#8211;\\(\\sqrt{3x+5}\\) &#8211; 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41609\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-39.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 39\" width=\"529\" height=\"474\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-39.png 529w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-39-300x269.png 300w\" sizes=\"(max-width: 529px) 100vw, 529px\" \/><\/p>\n<p>Question 40.<br \/>\nf(x) = 2\\(\\sqrt{x-7}\\) + 6<br \/>\nAnswer:<\/p>\n<p>Question 41.<br \/>\nf(x) = 2x<sup>2<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41610\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-41.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 41.1\" width=\"581\" height=\"616\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-41.1.png 581w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-41.1-283x300.png 283w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41611\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-41.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 41.2\" width=\"505\" height=\"125\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-41.2.png 505w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-41.2-300x74.png 300w\" sizes=\"(max-width: 505px) 100vw, 505px\" \/><\/p>\n<p>Question 42.<br \/>\nf(x) = |x|<br \/>\nAnswer:<\/p>\n<p>Question 43.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nDescribe and correct the error in finding the inverse of the function f(x) = &#8211; 3x + 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34056\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-17.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 17\" width=\"324\" height=\"149\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-17.png 324w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-17-300x138.png 300w\" sizes=\"(max-width: 324px) 100vw, 324px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41612\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-43.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 43\" width=\"534\" height=\"319\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-43.png 534w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-43-300x179.png 300w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><\/p>\n<p>Question 44.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nDescribe and correct the error in finding and graphing the inverse of the function f(x) = \\(\\sqrt{x-3}\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34057\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-18.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 18.1\" width=\"324\" height=\"159\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-18.1.png 324w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-18.1-300x147.png 300w\" sizes=\"(max-width: 324px) 100vw, 324px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 45.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nThe euro is the unit of currency for the European Union. On a certain day, the number E of euros that could be obtained for D U.S. dollars was represented by the formula shown.<br \/>\nE = 0.74683D<br \/>\nSolve the formula for D. Then find the number of U.S. dollars that could be obtained for 250 euros on that day.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41613\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-45.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 45\" width=\"394\" height=\"356\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-45.png 394w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-45-300x271.png 300w\" sizes=\"(max-width: 394px) 100vw, 394px\" \/><\/p>\n<p>Question 46.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nA crow is flying at a height of 50 feet when it drops a walnut to break it open. The height h (in feet) of the walnut above ground can be modeled by h = -16t<sup>2<\/sup> + 50, where t is the time (in seconds) since the crow dropped the walnut. Solve the equation for t. After how many seconds will the walnut be 15 feet above the ground?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34058\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-18.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 18\" width=\"264\" height=\"196\" \/><br \/>\nAnswer:<\/p>\n<p><strong>MATHEMATICAL CONNECTIONS In Exercises 47 and 48, s is the side length of an equilateral triangle. Solve the formula for s. Then evaluate the new formula for the given value.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34059\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-19.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 19\" width=\"251\" height=\"201\" \/><br \/>\nAnswer:<br \/>\n47.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41614\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-47.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 47\" width=\"496\" height=\"639\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-47.png 496w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-47-233x300.png 233w\" sizes=\"(max-width: 496px) 100vw, 496px\" \/><\/p>\n<p><strong>In Exercises 49\u201354, find the inverse of the function. Then graph the function and its inverse.<\/strong><br \/>\nQuestion 49.<br \/>\nf(x) = 2x<sup>3<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41644\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-49.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 49.1\" width=\"580\" height=\"546\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-49.1.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-49.1-300x282.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/> <img loading=\"lazy\" class=\"alignnone size-full wp-image-41645\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-49.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 49.2\" width=\"293\" height=\"283\" \/><\/p>\n<p>Question 50.<br \/>\nf(x) = x<sup>3<\/sup> &#8211; 4<br \/>\nAnswer:<\/p>\n<p>Question 51.<br \/>\nf(x) = (x &#8211; 5)<sup>3<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41615\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-51.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 51.1\" width=\"426\" height=\"464\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-51.1.png 426w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-51.1-275x300.png 275w\" sizes=\"(max-width: 426px) 100vw, 426px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41616\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-51.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 51.2\" width=\"299\" height=\"280\" \/><\/p>\n<p>Question 52.<br \/>\nf(x) = 8(x + 2)<sup>3<\/sup><br \/>\nAnswer:<\/p>\n<p>Question 53.<br \/>\nf(x) = 4\\(\\sqrt [3]{ x }\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41617\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-53.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 53.1\" width=\"495\" height=\"536\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-53.1.png 495w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-53.1-277x300.png 277w\" sizes=\"(max-width: 495px) 100vw, 495px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41618\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-53.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 53.2\" width=\"569\" height=\"451\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-53.2.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-53.2-300x238.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<p>Question 54.<br \/>\nf(x) = &#8211;\\(\\sqrt [3]{ x-1 }\\)<br \/>\nAnswer:<\/p>\n<p>Question 55.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nYour friend says that the inverse of the function f(x) = 3 is a function because all linear functions pass the Horizontal Line Test. Is your friend correct? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41619\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-55.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 55\" width=\"580\" height=\"113\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-55.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-55-300x58.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 56.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nPair the graph of each function with the graph of its inverse.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34060\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-20.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 20\" width=\"335\" height=\"412\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-20.png 335w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-20-244x300.png 244w\" sizes=\"(max-width: 335px) 100vw, 335px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 57.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe changes you could make to the function f(x) = x<sup>2<\/sup> &#8211; 5 so that its inverse is a function. Describe the domain and range of the new function and its inverse.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41620\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-57.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 57\" width=\"569\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-57.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-57-300x75.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<p>Question 58.<br \/>\n<strong>CRITICAL THINKING<\/strong><br \/>\nCan an even function with at least two values in its domain have an inverse that is a function? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 59.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nWrite a function such that the graph of its inverse is a line with a slope of 4.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41621\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-59.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 59\" width=\"585\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-59.png 585w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-59-300x47.png 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><\/p>\n<p>Question 60.<br \/>\n<strong>CRITICAL THINKING<\/strong><br \/>\nConsider the function g(x) = -x.<br \/>\na. Graph g(x) = -x and explain why it is its own inverse.<br \/>\nb. Graph other linear functions that are their own inverses. Write equations of the lines you graph.<br \/>\nc. Use your results from part (b) to write a general equation that describes the family of linear functions that are their own inverses.<br \/>\nAnswer:<\/p>\n<p>Question 61.<br \/>\n<strong>REASONING<\/strong><br \/>\nShow that the inverse of any linear function f(x) = mx + b, where m \u2260 0, is also a linear function. Write the slope and y-intercept of the graph of the inverse in terms of m and b.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41622\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-61.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 61\" width=\"534\" height=\"446\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-61.png 534w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-61-300x251.png 300w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><\/p>\n<p>Question 62.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nThe graphs of f(x) = x<sup>3<\/sup> &#8211; 3x and its inverse are shown. Find the greatest interval -a \u2264 x \u2264 a for which the inverse of f is a function. Write an equation of the inverse function.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34061\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-21.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 21\" width=\"179\" height=\"128\" \/><br \/>\nAnswer:<\/p>\n<p>Question 63.<br \/>\n<strong>REASONING<\/strong><br \/>\nIs the inverse of f(x) = 2|x + 1|a function? Are there any values of a, h, and k for which the inverse of f(x) = a |x &#8211; h| + k is a function? Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41623\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-63.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 63\" width=\"605\" height=\"222\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-63.png 605w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-63-300x110.png 300w\" sizes=\"(max-width: 605px) 100vw, 605px\" \/><\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p>Find the sum or difference.(Section 7.1)<br \/>\nQuestion 64.<br \/>\n(2x &#8211; 9) &#8211; (6x + 5)<br \/>\nAnswer:<\/p>\n<p>Question 65.<br \/>\n(8y + 1) + (-y &#8211; 12)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41624\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-65.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 65\" width=\"439\" height=\"101\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-65.png 439w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-65-300x69.png 300w\" sizes=\"(max-width: 439px) 100vw, 439px\" \/><\/p>\n<p>Question 66.<br \/>\n(t<sup>2<\/sup> &#8211; 4t &#8211; 4) + (7t<sup>2<\/sup> + 12t + 3)<br \/>\nAnswer:<\/p>\n<p>Question 67.<br \/>\n(-3d<sup>2<\/sup> + 10d &#8211; 8) &#8211; (7d<sup>2<\/sup> &#8211; d &#8211; 6)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41625\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-67.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 67\" width=\"412\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-67.png 412w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-67-300x97.png 300w\" sizes=\"(max-width: 412px) 100vw, 412px\" \/><\/p>\n<p>Graph the function. Compare the graph to the graph of f(x) = x<sup>2<\/sup>. (Section 8.2)<br \/>\nQuestion 68.<br \/>\ng(x) = x<sup>2<\/sup> + 6<br \/>\nAnswer:<\/p>\n<p>Question 69.<br \/>\nh(x) = -x<sup>2<\/sup> &#8211; 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41626\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-69.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 69\" width=\"574\" height=\"533\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-69.png 574w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-69-300x279.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/p>\n<p>Question 70.<br \/>\np(x) = -4x<sup>2<\/sup> + 5<br \/>\nAnswer:<\/p>\n<p>Question 71.<br \/>\nq(x) = \\(\\frac{1}{3}\\)x<sup>2<\/sup> &#8211; 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41627\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-71.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 a 71\" width=\"565\" height=\"578\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-71.png 565w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-a-71-293x300.png 293w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><\/p>\n<h3><a id=\"Radical_Functions_and_Equations_Performance_Task:_Medication_and_the_Mosteller_Formula\"><\/a>Radical Functions and Equations Performance Task: Medication and the Mosteller Formula<\/h3>\n<p><strong>10.3\u201310.4What Did YouLearn?<\/strong><\/p>\n<p><strong>Core Vocabulary<\/strong><br \/>\nradical equation, p. 560<br \/>\ninverse relation, p. 568<br \/>\ninverse function, p. 569<\/p>\n<p><strong>Core Concepts<\/strong><br \/>\nLesson 10.3<br \/>\nSquaring Each Side of an Equation, p. 560<br \/>\nIdentifying Extraneous Solutions, p. 562<\/p>\n<p>Lesson 10.4<br \/>\nInverse Relation, p. 568<br \/>\nFinding Inverses of Functions Algebraically, p. 570<br \/>\nFinding Inverses of Nonlinear Functions, p. 570<br \/>\nHorizontal Line Test, p. 571<\/p>\n<p><strong>Mathematical Practices<\/strong><br \/>\nQuestion 1.<br \/>\nCould you also solve Exercises 37\u201344 on page 565 by graphing? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nWhat external resources could you use to check the reasonableness of your answer in Exercise 45 on page 573?<br \/>\nAnswer:<\/p>\n<p><strong>Performance Task: Medication and the Mosteller Formula<\/strong><\/p>\n<p>When taking medication, it is critical to take the correct dosage. For children in particular, body surface area (BSA) is a key component in calculating that dosage. The Mosteller Formula is commonly used to approximate body surface area. How will you use this formula to calculate BSA for the optimum dosage?<br \/>\nTo explore the answers to this question and more, go to<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34062\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-22.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations 10.4 22\" width=\"376\" height=\"368\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-22.png 376w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-10.4-22-300x294.png 300w\" sizes=\"(max-width: 376px) 100vw, 376px\" \/><\/p>\n<h3><a id=\"Radical_Functions_and_Equations_Chapter_Review\"><\/a>Radical Functions and Equations Chapter Review<\/h3>\n<p><strong>10.1 Graphing Square Root Functions (pp. 543\u2013550)<\/strong><\/p>\n<p><strong>Graph the function. Describe the domain and range. Compare the graph to the graph of f(x) = \\(\\sqrt{x}\\).<\/strong><br \/>\nQuestion 1.<br \/>\ng(x) = \\(\\sqrt{x}\\) + 7<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nh(x) = \\(\\sqrt{x-6}\\)<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nr(x) = &#8211;\\(\\sqrt{x+3}\\) &#8211; 1<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nLet g(x) = \\(\\frac{1}{4} \\sqrt{x-6}\\) + 2. Describe the transformations from the graph of f(x) = \\(\\sqrt{x}\\) to the graph of g. Then graph g.<br \/>\nAnswer:<\/p>\n<p><strong>10.2 Graphing Cube Root Functions (pp. 551\u2013556)<\/strong><\/p>\n<p><strong>Graph the function. Compare the graph to the graph of f(x) = \\(\\sqrt [3]{ x }\\).<\/strong><br \/>\nQuestion 5.<br \/>\ng(x) = \\(\\sqrt [3]{ x }\\) + 4<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nh(x) = -8\\(\\sqrt [3]{ x }\\)<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\ns(x) = \\(\\sqrt[3]{-2(x-3)}\\)<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nLet g(x) = -3\\(\\sqrt [3]{ x+2 }\\) &#8211; 1. Describe the transformations from the graph of f(x) = \\(\\sqrt [3]{ x }\\) to the graph of g. Then graph g.<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nThe graph of cube root function r is shown. Compare the average rate of change of r to the average rate of change of p(x) = \\(\\sqrt[3]{\\frac{1}{2} x}\\) over the interval x = 0 to x = 8.<br \/>\nAnswer:<\/p>\n<p><strong>10.3 Solving Radical Equations (pp. 559-566)<\/strong><\/p>\n<p><strong>Solve the equation. Check your solution(s).<\/strong><br \/>\nQuestion 10.<br \/>\n8 + \\(\\sqrt{x}\\) = 18<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n\\(\\sqrt [3]{ x-1 }\\) = 3<br \/>\nAnswer:<\/p>\n<p>Question 12.<br \/>\n\\(\\sqrt{5x-9}\\) = \\(\\sqrt{4x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\nx = \\(\\sqrt{3x+4}\\)<br \/>\nAnswer:<\/p>\n<p>Question 14.<br \/>\n8\\(\\sqrt{x-5}\\) + 34 = 58<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n\\(\\sqrt{5x}\\) + 6 = 5<br \/>\nAnswer:<\/p>\n<p>Question 16.<br \/>\nThe radius r of a cylinder is represented by the function r = \\(\\sqrt{\\frac{V}{\\pi h}}\\), where V is the volume and h is the height of the cylinder. What is the volume of the cylindrical can?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34063\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-cr-16.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations cr 16\" width=\"116\" height=\"102\" \/><br \/>\nAnswer:<\/p>\n<p><strong>10.4 Inverse of a Function (pp. 567\u2013574)<\/strong><\/p>\n<p><strong>Find the inverse of the relation.<\/strong><br \/>\nQuestion 17.<br \/>\n(1, -10), (3, -4), (5, 4), (7, 14), (9, 26)<br \/>\nAnswer:<\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34064\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-cr-18.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations cr 18\" width=\"273\" height=\"65\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Find the inverse of the function. Then graph the function and its inverse.<\/strong><br \/>\nQuestion 19.<br \/>\nf(x) = -5x + 10<br \/>\nAnswer:<\/p>\n<p>Question 20.<br \/>\nf(x) = 3x<sup>2<\/sup> &#8211; 1, x \u2265 0<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\nf(x) = \\(\\frac{1}{2} \\sqrt{2 x+6}\\)<br \/>\nAnswer:<\/p>\n<p>Question 22.<br \/>\nConsider the function f(x) = x<sup>2<\/sup> + 4. Use the Horizontal Line Test to determine whether the inverse of f is a function.<br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\nIn bowling, a handicap is an adjustment to a bowler\u2019s score to even out differences in ability levels. In a particular league, you can find a bowler\u2019s handicap h by using the formula h = 0.8(210 &#8211; a), where a is the bowler\u2019s average. Solve the formula for a. Then find a bowler\u2019s average when the bowler\u2019s handicap is 28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34065\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-10-Radical-Functions-and-Equations-cr-23.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 10 Radical Functions and Equations cr 23\" width=\"212\" height=\"153\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Radical_Functions_and_Equations_Chapter_Test\"><\/a>Radical Functions and Equations Chapter Test<\/h3>\n<p><strong>Find the inverse of the function.<\/strong><br \/>\nQuestion 1.<br \/>\nf(x) = 5x &#8211; 8 2.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nf(x) = 2\\(\\sqrt{x+3}\\) &#8211; 1<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nf(x) = &#8211;\\(\\frac{1}{3}\\)x<sup>2<\/sup> + 4, x \u2265 0<br \/>\nAnswer:<\/p>\n<p><strong>Graph the function f. Describe the domain and range. Compare the graph of f to the graph of g.<\/strong><br \/>\nQuestion 4.<br \/>\nf(x) = &#8211;\\(\\sqrt{x+6}\\); g(x) = \\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nf(x) = \\(\\sqrt{x-3}\\) + 2; g(x) = \\(\\sqrt{x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nf(x) = \\(\\sqrt [3]{ x }\\) &#8211; 5; g(x) = \\(\\sqrt [3]{ x }\\)<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nf(x) = -2\\(\\sqrt [3]{ x+1 }\\); g(x) = \\(\\sqrt [3]{ x }\\)<br \/>\nAnswer:<\/p>\n<p><strong>Solve the equation. Check your solution(s).<\/strong><br \/>\nQuestion 8.<br \/>\n9 &#8211; \\(\\sqrt{x}\\) = 3<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n\\(\\sqrt{2x-7}\\) &#8211; 3 = 6<br \/>\nAnswer:<\/p>\n<p>Question 10.<br \/>\n\\(\\sqrt{8x-21}\\) = \\(\\sqrt{18-5x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nx + 5 = \\(\\sqrt{7x+53}\\)<br \/>\nAnswer:<\/p>\n<p>Question 12.<br \/>\nWhen solving the equation x &#8211; 5 = \\(\\sqrt{ax+b}\\), you obtain x = 2 and x = 8. Explain why at least one of these solutions must be extraneous.<br \/>\nAnswer:<\/p>\n<p>Describe the transformations from the graph of f(x) = \\(\\sqrt [3]{ x }\\) to the graph of the given function. Then graph the given function.<br \/>\nQuestion 13.<br \/>\nh(x) = 4\\(\\sqrt [3]{ x-1 }\\) + 5<br \/>\nAnswer:<\/p>\n<p>Question 14.<br \/>\nw(x) = &#8211;\\(\\sqrt [3]{ x+7 }\\) &#8211; 2<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\nThe velocity v (in meters per second) of a roller coaster at the bottom of a hill is given by v = \\(\\sqrt{19.6h}\\), where h is the height (in meters) of the hill. (a) Use a graphing calculator to graph the function. Describe the domain and range. (b) How tall must the hill be for the velocity of the roller coaster at the bottom of the hill to be at least 28 meters per second? (c) What happens to the average rate of change of the velocity as the height of the hill increases?<br \/>\nAnswer:<\/p>\n<p>Question 16.<br \/>\nThe speed s (in meters per second) of sound through air is given by s = 2\\(\\sqrt{T+273}\\), where T is the temperature (in degrees Celsius).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34066\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-c-16.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 10 Radical Functions and Equations c 16\" width=\"312\" height=\"209\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-c-16.png 312w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-c-16-300x201.png 300w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><br \/>\na. What is the temperature when the speed of sound through air is 340 meters per second?<br \/>\nb. How long does it take you to hear the wolf howl when the temperature is -17\u00b0C?<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\nHow can you restrict the domain of the function f(x) = (x &#8211; 3)<sup>2<\/sup> so that the inverse of f is a function?<br \/>\nAnswer:<\/p>\n<p>Question 18.<br \/>\nWrite a radical function that has a domain of all real numbers less than or equal to 0 and a range of all real numbers greater than or equal to 9.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Radical_Functions_and_Equations_Cumulative_Assessment\"><\/a>Radical Functions and Equations Cumulative Assessment<\/h3>\n<p>Question 1.<br \/>\nFill in the function so that it is represented by the graph.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34067\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-1.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 10 Radical Functions and Equations ca 1\" width=\"470\" height=\"157\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-1.png 470w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-1-300x100.png 300w\" sizes=\"(max-width: 470px) 100vw, 470px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nConsider the equation y = mx + b. Fill in values for m and b so that each statement is true.<br \/>\na. When m = ______ and b = ______, the graph of the equation passes through the point (-1, 4).<br \/>\nb. When m = ______ and b = ______, the graph of the equation has a positive slope and passes through the point (-2, -5).<br \/>\nc. When m = ______ and b = ______, the graph of the equation is perpendicular to the graph of y = 4x &#8211; 3 and passes through the point (1, 6).<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nWhich graph represents the inverse of the function f(x) = 2x + 4?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34068\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-3.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 10 Radical Functions and Equations ca 3\" width=\"413\" height=\"270\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-3.png 413w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-3-300x196.png 300w\" sizes=\"(max-width: 413px) 100vw, 413px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nConsider the equation x = \\(\\sqrt{ax+b}\\). Student A claims this equation has one real solution. Student B claims this equation has two real solutions. Use the numbers to answer parts (a)\u2013(c).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34069\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-4.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 10 Radical Functions and Equations ca 4\" width=\"477\" height=\"56\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-4.png 477w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-4-300x35.png 300w\" sizes=\"(max-width: 477px) 100vw, 477px\" \/><br \/>\na. Choose values for a and b to create an equation that supports Student A\u2019s claim.<br \/>\nb. Choose values for a and b to create an equation that supports Student B\u2019s claim.<br \/>\nc. Choose values for a and b to create an equation that does not support either student\u2019s claim.<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nWhich equation represents the nth term of the sequence 3, 12, 48, 192, . . .?<br \/>\nA. a<sub>n<\/sub> = 3(4)<sup>n-1<\/sup><br \/>\nB. a<sub>n<\/sub> = 3(9)<sup>n-1<\/sup><br \/>\nC. a<sub>n<\/sub> = 9n &#8211; 6<br \/>\nD. a<sub>n<\/sub> = 9n + 3<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nConsider the function f(x) = \\(\\frac{1}{2} \\sqrt[3]{x+3}\\). The graph represents function g. Select all the statements that are true.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34070\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-6.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 10 Radical Functions and Equations ca 6\" width=\"601\" height=\"243\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-6.png 601w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-6-300x121.png 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nPlace each function into one of the three categories.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34071\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-7.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 10 Radical Functions and Equations ca 7\" width=\"508\" height=\"193\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-7.png 508w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-7-300x114.png 300w\" sizes=\"(max-width: 508px) 100vw, 508px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nYou are making a tabletop with a tiled center and a uniform mosaic border.<br \/>\na. Write the polynomial in standard form that represents the perimeter of the tabletop.<br \/>\nb. Write the polynomial in standard form that represents the area of the tabletop.<br \/>\nc. The perimeter of the tabletop is less than 80 inches, and the area of tabletop is at least 252 square inches. Select all the possible values of x.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34072\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-8.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 10 Radical Functions and Equations ca 8\" width=\"613\" height=\"156\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-8.png 613w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-10-Radical-Functions-and-Equations-ca-8-300x76.png 300w\" sizes=\"(max-width: 613px) 100vw, 613px\" \/><br \/>\nAnswer:<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If you feel your practice session is incomplete then you just need this one particular &amp; useful material ie., Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations. This is one of the best study resources available on the internet for international students who want to become pro in mathematics. Kids will &#8230; <a title=\"Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-1-answers-chapter-10\/\" aria-label=\"More on Big Ideas Math Algebra 1 Answers Chapter 10 Radical Functions and Equations\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":89128,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[4],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Algebra-1-Answers-Chapter-10-Radical-Functions-and-Equations.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/33988"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=33988"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/33988\/revisions"}],"predecessor-version":[{"id":90383,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/33988\/revisions\/90383"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/89128"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=33988"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=33988"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=33988"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}