548 Chapter 10Radical Functions and EquationsExercises10.1Dynamic Solutionsavailable at BigIdeasMath.com 1. COMPLETE THE SENTENCE A ________ is a function that contains a radical expression with the independent variable in the radicand. 2. VOCABULARY Is y 2x √— 5 a square root function? Explain. 3. WRITING How do you describe the domain of a square root function? 4. REASONING Is the graph of g(x) 1.25 √— x a vertical stretch or a vertical shrink of the graph of f (x) √— x ? Explain.Vocabulary and Core Concept CheckVocabularyand Core ConceptCheckIn Exercises 5–14, describe the domain of the function. (See Example 1.)5. y 8 √— x 6. y √— 4x 7.y 4 + √— x 8. y — 1 — 2 x + 19. h(x) √— x 4 10. p(x) √— x + 7 11.f (x) √— x + 8 12. g(x) √— x 1 13.m(x) 2 √— x + 4 14. n(x) 1 — 2 √— x 2 In Exercises 15–18, match the function with its graph. Describe the range.15.y √— x 3 16. y 3 √— x 17.y √— x 3 18. y √— x + 3 A. 224xy4 B. 22214xy4C. 2246xy4 D. 224xy46In Exercises 19–26, graph the function. Describe the range. (See Example 2.)19. y √— 3x 20. y 4 √— x 21. y √— x + 5 22. y 2 + √— x 23. f (x) √— x 3 24. g(x) √— x + 4 25. h(x) √— x + 2 2 26. f (x) √— x 1 + 3In Exercises 27–34, graph the function. Compare the graph to the graph of f (x) = √— x . (See Example 3.) 27.g(x) 1 — 4 √— x 28. r(x) √— 2x 29. h(x) √— x + 3 30. q(x) √— x + 831. p(x) — 1 — 3 x 32. g(x) 5 √— x 33. m(x) √— x 6 34. n(x) √— x 4 35. ERROR ANALYSIS Describe and correct the error in graphing the function y √— x + 1 . 22424xy✗
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