QUESTIONS 1,2,5,6,9 AND 13-16

Example 9 by Section 2.2 Functions 197 into the differ 4x - 4h + 1 2.2 Exercises - 4x + 7 VOCABULARY CHECK: Fill in the blanks. 1. A relation that assigns to each element x from a set of inputs, or , exactly one element y in a set + h - 4, hi of outputs, or , is called a 2. Functions are commonly represented in four different ways, , and 3. For an equation that represents y as a function of x, the set of all values taken on by the variable x is the domain, and the set of all values taken on by the variable y is the range. 4. The function given by such that to one value f (x ) = 1 2x - 1, * 0 (c) q (y + 3 ) Publisher Company) 32. q(1) = 212 + 3 -2 -1 0 1 12 (a) q(2) (b) q(0) (c) q(-x) f (x ) con 19 - x2, x 1 47. f(x) = 3x - 4 48. f(x) year? Is the circulation of evening newspapers a function (b) f(1 ) ( c ) f ( 2 ) 5 ion of the year? Explain. (a) f(-2) 49 . f ( x ) = x2 - 9 50. f(x) 12. Let f(x) represent the circulation of evening newspapers in 3x - 1, * 1 (a) f(-2) ( b ) f ( - 2) (c) f(3) In Exercises 53-56, find the value( In Exercises 13-24, determine whether the equation repre- sents y as a function of x. 4- 5x, x5-2 f(x) = g(x). 13. x2 + y2 = 4 14. x = y2 38. f(x) = 10, - 2 2 54. f (x ) = x4 - 2x2, 8(x) = 2x2 17. 2x + 3y = 4 18. ( x - 2)2 + 12 = 4 (a) f(-3) ( b ) f ( 4 ) (c) f (-1) 55 . f ( x ) = 3x + 1, 8(x) = x+ 1 19. y2 = x2 - 1 20. y = Vx+5 21. y = 14 - x| In Exercises 39-44, complete the table 56. f (x) = Vx - 4, 8(x) = 2 -x 22. ly| = 4 - x 23. x = 14 24. y =-75 39. f ( x ) = x2 - 3 In Exercises 57-70, find the domain of th 57. f (x) = 5x2 + 2x - 1 58. g(x) In Exercises 25-38, evaluate the function at each specified -2 -1 0 1 2 value of the independent variable and simplify f ( x ) 59. h(t) = = 60. s(y) oth 25. f ( x) = 2x - 3 (a) f(1) (c) f(x - 1) 40. 8 (x) = Vx - 3 61. g(y) = Vy - 10 63. f(x) = 4/1 -x2 62. f(t) = ( b ) f ( - 3 ) 26. 8(y) = 7 - 3y 3 64. f(x)= th (a) 8(0) ( b ) 8 ( 3 ) 4 5 6 7 65. 8(x) = _ _ 3 x x+ 27. V(r) = 3Tr (c) 8(s + 2) 8 ( x ) 66. h(x) (a) V(3) ( b ) V ( 2 ) 41. h(t) = | + 3 67. f(s) = VS - 1 (c) V(2r) S - 4 68. f(x) 28. h(t) = 12 - 21 (a) h(2) (b) h ( 1.5) -5 -4 -3 -2 -1 69. f(x) = =4 Vx 70. f(x) 29. f(y) = 3 - vy (c) h(x + 2) h(z) (a) f(4) (b) f(0.25) 30. f( x) = Vx+8+2 (c) f(4x2) In Exercises 71-74, assume that the 42. f(s) = 15 - 21 the set A = {-2, - 1, 0, 1, 2}. Determine (a) f(-8) (b) f(1) (c) f (x - 8) s - 2 pairs that represents the function f. s 0 1 71. f ( x ) = x2 f (s) 2 2 4 72. f(x) The symbol indicates an example or exercis in calculus