Section 10.2Graphing CubeRoot Functions 555Exercises10.2Dynamic Solutionsavailable at BigIdeasMath.comIn Exercises 3–6, match the function with its graph. 3. y 3 √— x + 2 4. y 3 √— x 2 5. y 3 √— x + 2 6. y 3 √— x 2 A. xy13522 B.xy12241C. xy2224 D. xy1422In Exercises 7–12, graph the function. Compare the graph to the graph of f (x) = 3 √— x . (See Example 1.)7.h(x) 3 √— x 4 8. g(x) 3 — x + 1 9. m(x) 3 √— x + 5 10. q(x) 3 √— x 311.p(x) 6 3 √— x 12. j(x) 3 — 1 — 2 x In Exercises 13–16, compare the graphs. Find the value of h, k, or a.13. 14. 15.16. xy222461v(x) x + k322xf(x) x3 xy222422xp(x) a x32222f(x) x34In Exercises 17–26, graph the function. Compare the graph to the graph of f (x) = 3 √— x. (See Example 2.) 17. r(x) 3 √— x 2 18. h(x) 3 √— x + 3 19. k(x) 5 3 √— x + 1 20. j(x) 0.5 3 √— x 4 21. g(x) 4 3 √— x 3 22. m(x) 3 3 √— x + 7 23. n(x) 3 √— 8x 1 24. v(x) 3 √— 5x + 2 25. q(x) 3 √— 2(x + 3) 26. p(x) 3 — 3(1 x) In Exercises 27–32, describe the transformations from the graph of f (x) 3 √— x to the graph of the given function. Then graph the given function.(See Example3.) 27.g(x) 3 √— x 4 + 2 28. n(x) 3 — x + 1 329. j(x) 5 3 √— x + 3 + 2 30. k(x) 6 3 √— x 9 531. v(x) 1 — 3 3 √— x 1 + 7 32. h(x) 3 — 2 3 — x + 4 3 33. ERROR ANALYSIS Describe and correct the error in graphing the function f (x) 3 √— x 3 . 2xy4622✗
Monitoring Progress and Modeling with MathematicsMonitoring Progress and Modeling with Mathematics 1. COMPLETE THE SENTENCE The __________ of the radical in a cube root function is 3. 2. WRITING Describe the domain and range of the function f (x) 3 √— x 4 + 1.Vocabulary and Core Concept CheckVocabularyand Core ConceptCheckxy282222f(x) x322q(x) x h3xy22242222f(x) x3yg(x) x + k3