Section 2.6 Introduction to Functions 201 h1x2 7, and k1x2 g1x2 0 x 2 0 f1x2 x2 4x 1, 6x 2, Consider the functions defined by . For Exercises 21–52, find the following. (See Examples 3–4.) 21. g122 22. k122 23. g102 24. h102 f g1a2 f 1t2 k102 102 25. 26. 27. 28. h1g1 52 h1u2 k1v2 32 29. 30. 31. 32. f h1x 12 f 1x 12 1k1 62 22 33. 34. 35. 36. g1 g1a22 pg12x2 k1x 32 2 37. 38. 39. 40. g1f b2 1f a2 h1a b2 1x h2 41. 42. 43. 44. f a1 b 2 45. 46. 47. 48. h a1 b k1f 5.42 1k 2.82 a3 49. 50. 51. 52. 2 10, 926. 134, 15q 12, 52, 2, 13, 2p 516, 42, p 12, 72, 11, 02, 26 5112 Consider the functions and For Exercises 53–60, find the function values. 53. p122 54. p112 55. p132 56. b q122 b 57. 58. 59. 60. Concept 4: Finding Function Values from a Graph 61. The graph of is given. (See Example 5.) f102 y f 1x2 a. Find . b. Find c. Find d. For what value(s) of x is e. For what value(s) of x is f. Write the domain of f. g. Write the range of f. f1x2 3? f132. 62. The graph of is given. g112. a. Find b. Find c. Find d. For what value(s) of x is e. For what value(s) of x is f. Write the domain of g. g. Write the range of g. g1x2 3? g1x2 0? g112. g142. y g1x2 f1x2 3? f122. qa q162 q102 3 4 pa1 2 , 62, 7 b g a1 4 h1 b k1 x2 c2 x 5 y f(x) y 4 3 2 1 54 321 1 2 3 4 5 1 2 3 4 5 y x 5 4 3 2 1 5 43 1 2 3 4 5 21 1 2 3 4 5 y g(x)
miller_intermediate_algebra_4e_ch1_3
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