0. -2 2. -2 -2" (-2, -2) E. D. F. 2- (2, 0) -27 Н. I. G. 4 -2 |(0, 2) (2, 2) -2+ + -2 16. Concept Check Describe how the graph of f(x) = 2(x + 1)3 – 6 compares to the graph of y = x³. %3D %3D www.3giwolload Graph each function. See Examples 1 and 2. 19. f(x) = =| 18. f(x) = 4|x| 17. f(x) = 3|x| %D %3D 22. g(x) = 3x² 21. g(x) = 2x² 20. f(x) =-|x| %3D %3D 1 25. f(x) = 23. g(x) =x² 24. g(x) = %3D %3D 28. f(x) = -2|x| 27.) f(x) = -3|x| %3D 26. f(x) = 3" 1 29. h(x) = 31. h(x) = V4x 30. h(x) = | - X. %3D X. 34. f(x) = -|-x| 33 f(x) = –V-x 32. h(x) = Vx X. %3D 1/2 01 2. 38. Find a point on the graph of the reflection of y = f(x) %3D (a) across the x-axis (b) across the y-axis. Concept Check Plot each point, and then plot the points that are symmetric to the given point with respect to the (a) x-axis, (b) y-axis, and (c) origin. 39. (5, -3) 42. (-8, 0) 40. (-6, 1) 41. (-4,-2) 43. Concept Check The graph of y = |x- 2| is symmetric with respect to a verticar line. What is the equation of that line? %3D 44. Concept Check Repeat Exercise 43 for the graph of y =-|x+ 1|. Without graphing, determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. See Examples 3 and 4. 45. y = x2 +5 %3D 46. у 3D 2х4 -3 47. x? + y? = 12 %3D 48. y2 – x2 = -6 49. y = -4x³ + x 50. y = x3 - x 51. y= x² – x + 8 52. у 3D х + 15 Determine whether each function is even, odd, or neither. See Example 5. 53. f(x) = -r³ + 2x 54. f(x) = x5 – 2x3 55. f(x) = 0.5x4 – 2x² + 6 56. f(x) = 0.75x² + |x| + 4 57, f(x) = x3 – x +9 odt wo 58. f(x) = x4 – 5x + 8 Graph each function. See Examples 6-8 and the Summary of Graphing Techniques box following Example 9. 59. f(x) = x² –- 1 60. f(x) = x² – 2 61. f(x) = x² + 2 %3D 62. f(x) = x² + 3 63. g(x) = (x – 4)² 64. g(x) = (x – 2)² %3D 63. 8(x) = (x + 2)² 66. g(x) = (x + 3)² 67.) g(x) = |x| – 1 68. g(x) = |x + 3|+2 69. h(x) = -(x+ 1)3 70. h(x) = -(x - 1)3 %3D %3D 71. h(x) = 2x2 - 1 72. h(x) = 3x? - 2 73) f(x) = 2(x – 2)² – 4 %3D 74. f(x)=-3(x– 2)²+1 75. f(x) = Vx + 2 76. f(x) = Vx – 3 %3D %3D 77. f(x) = - Vx 78. f(x) = Vx – 2 79. f(x) = 2Vx+ 1 %3D %3D 82. x(1) = 81. g(*) = -x³ – 4 80. f(x) = 3Vx – 2 82. g(x) * 2 85. f(x) = (x – 2)9 83. g(x) = (x + 3)³ 84. f(x) = (x- 2)³