373 3.4 Polynomial Functions: Graphs, Applications, and Models 60. ƒ1x2 = x5 + 2x3 - 2x2 + 5x + 5; no real zero less than -1 61. ƒ1x2 = 3x4 + 2x3 - 4x2 + x - 1; no real zero greater than 1 62. ƒ1x2 = 3x4 + 2x3 - 4x2 + x - 1; no real zero less than -2 63. ƒ1x2 = x5 - 3x3 + x + 2; no real zero greater than 2 64. ƒ1x2 = x5 - 3x3 + x + 2; no real zero less than -3 Graph each function in the viewing window specified. Compare the graph to the one shown in the answer section of this text. Then use the graph to find ƒ11.252. 71. ƒ1x2 = -2x1x - 321x + 22; window: 3-3, 44 by 3-12, 204 Compare to Exercise 31. 72. ƒ1x2 = x21x - 221x + 322; window: 3-4, 34 by 3-24, 44 Compare to Exercise 33. 73. ƒ1x2 = 13x - 121x + 222; window: 3-4, 24 by 3-15, 154 Compare to Exercise 35. 74. ƒ1x2 = x3 + 5x2 - x - 5; window: 3-6, 24 by 3-30, 304 Compare to Exercise 37. Approximate the real zero discussed in each specified exercise. See Example 7. 75. Exercise 47 76. Exercise 49 77. Exercise 51 78. Exercise 50 For the given polynomial function, approximate each zero as a decimal to the nearest tenth. See Example 7. 79. ƒ1x2 = x3 + 3x2 - 2x - 6 80. ƒ1x2 = x3 - 3x + 3 81. ƒ1x2 = -2x4 - x2 + x + 5 82. ƒ1x2 = -x4 + 2x3 + 3x2 + 6 Connecting Graphs with Equations Find a polynomial function f of least degree having the graph shown. (Hint: See the NOTE following Example 4.) 65. x y 2 5 –6 (0, 30) 0 66. x y 3 –5 (0, 9) 0 67. x y 0 1 –1 (0, –1) 68. x y 0 1 –1 (0, 2) 69. x y 0 3 –3 (0, 81) 40 70. x y 0 –1 2 (0, 4)
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