5-65 (Every fourth, except for 9, 21, 29, and also 27, 35, 39, 43, 59, 63, 67;pp.203-204)

SECTION 2.2 . Graphs of Functions 203 24. H(x) = |x+ 1| when x = 3 is_ Complete the table, and sketch a 23. H(x) = 12x1 arsec (5.) G(x) = 1x1 + x 26. G(x) = 1x1- x the graph of f. (x,y) 27, f(x) = 12x - 21 28. f(x) = f(x) - 2 29-32 = Graphing Functions Graph the function in each of the given viewing rectangles, and select the one that produces the N - O - most appropriate graph of the function. 29. f(x) = 8x -12 a) [-5, 5] by [-5, 5] 2. If f(4) = 10 then the point (4, -) is on the graph of f. b) [- 10, 10] by [-10, 10] 3. If the point (3, 7) is on the graph of f, then f(3) = c) [-2, 10] by [-5, 20] (d) [-10, 10] by [-100, 100 ] 4. Match the function with its graph. (a) f(x) =x2 (b) f (x ) = x3 30. g(x) = x2 - x-20 (c) f (x ) = Vx (d) f(x) = 1x/ (a) [-2, 2] by [-5, 5] (b) [-10, 10] by [-10, 10] (c) [-7, 7] by [-25, 20] (sol ogig no sion n (d) [-10, 10] by [-100, 100 ] 31. h(x) = x3 - 5x - 4 (a) [-2, 2] by [-2, 2] b ) [-3, 3] by [- 10, 10] c) [-3, 3] by [- 10, 5] (d) [-10, 10] by [=10, 10] 919 enibail m 0 Fir 32. k (x ) = 32x4 - x2+ 2 III IV (a) [-1, 1] by [-1, 1] (b) [- 2, 2 ] by [- 2, 2] (c) [-5, 5] by [- 5, 5] (d) [-10, 10] by [-10, 10] 33-46 - Graphing Piecewise Defined Functions Sketch a graph of the piecewise defined function. 3 3 . f ( x ) = 10 ifx 1 first making a table of values. 5. f ( x ) = x + 2 6. f(x) = 4 - 2x (35. f(x ) = if x 0 11. g (x) = - (x + 1)2 12 . g ( x ) = x2 + 2x + 1 (13 . )1 ( x ) = 3x 4 38. f (x ) = 2x + 3 ifx 1 (21. C (t ) = = if x 1204 CHAPTER 2 . Functions (41 160 ) - 12 1 x5 - 1 (d) 42. 5(x) - 1 - > inxs 2 if x > 2 of if 1x1 = 2 13.) 1(x ) = 13 ir / x / >2 44. 1(x ) - fx if /x151 52. (1) (b) 45 . 1(x ) - if x 2 if x 50 46 . f(x ) - 19-1 10 3 47-48 = Graphing Piecewise Defined Functions Use a graphing device to draw a graph of the piecewise defined function. (See the margin note on page 162.) SKIL 47. f (x ) = 1x+ 2 ifxs - 1 . 7. if x > -1 53-56 - Vertical Line Test: Domain and Range Use the Vertical 48. f(x) = 1 2x - x2 ifx > 1 Line Test to determine whether the curve is a graph of a function 1(x - 1)3 ifx= 1 of x. If it is, state the domain and range of the function. 49-50 = Finding Piecewise Defined Functions A graph of a 53. 54. piecewise defined function is given. Find a formula for the func- tion in the indicated form. if x 2 outoml boniisb 55. ()1/EE) 8. 50. if x - -1 f ( x ) = 1 if - 1 2 57-68 Equations That Define Functions Determine whether the equation defines y as a function of x. (See Example 9.) 51-52 Vertical Line Test Use the Vertical Line Test to deter- mine whether the curve is a graph of a function of x. ( 57. 3x - 5y =7 58. 3x2 - y = 5 .51. (a) 59/ x = yz 60. x2 + ( y - 1) 2 = 4 61. 2x - 4y2 = 3 62. 2x2 - 4y2 =3 63. 2 xy - 5y2 =4 64. Vy - x=5 65. 2|x| ty=0 66. 2x + 1 7 1= 0 67. x = y3 68. x = y4