284 CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS 56. P(x) = -x* + 2x' + 3x² – 4x – 4 56. P(x) = -x+ 2x+ (In factored form, P(x) = -(x - 2)-(x + 1)².) 35. P(x) = -xr + 5x-1: a =0.1, b = 0.2 57. P(x) = -x + 3x' + x² - 3x 36. P(x) = -x-21+x-3; a= -2.8, b = -2.7 In Exercises 37 to 44, determine the x-intercepts of the graph of P. For each x-intercept, use the Even and Odd Powers of (x - c) Theorem to determine whether the graph of P crosses the x-axis or intersects but does not cross the x-axis. 58. P(x) =x* + x³ – 2x² – x + %3D 3).) (In factored form, P(x) = 7(x– 1)*(x + 1)( + 59. P(x) = x – x* – 5x' + xr? + 8x + 4 (In factored form, P(x) = (x + 1)*(x – 2)2) %3D 37. P(x) = (x – 1)(x + 1)(x – 3) 38. P(x) = (x + 2)(x – 6)² %3D 60. P(x) = 2x – 3x* – 4x' + 3x² + 2r In Exercises 61 to 66, use translation, reflection, or both concepts to explain how the graph of P can be used to 39. P(x) = x(x – 5)(x – 3) 40. P(x) = -(2x – 8)(x - 7)² produce the graph of Q. Q(x) = x' + x + 2 41. P(x) = x² (x – 15)(2x – 7)² 61. P(x) = x + x; 42. P(x) = x(x + 4)(x – 5)² 62. P(x) = x*; Q(x) = x – 3 43. P(x) = x – 6x² + 9x 63. P(x) = x*: Q(x) = (x – 1)* 44. P(x) = x + 3x + 4x2 64. P(x) = x'; Qx) = (x + 3) %3D 65. P(x) = x; Q(x) = -(x – 2) + 3 In Exercises 45 to 60, sketch the graph of the polynomial function. Do not use a graphing utility. 66. P(x) = x°; Q(x) = (x + 4)6 – 5 45. P(x) = x –- x² – 2x A Medication Level Pseudoephedrine hydrochloride is an allergy medication. The function 67. 46. P(x) = x + 2x² – 3x %3D 47. P(x) = -xr - 2x + 5x + 6 (In factored form, P(x) = -(x+ 3)(x + 1)(x - 2).) L(t) = 0.03t + 0.4r – 7.3t + 23.1t 48. P(x) = -xr – 3x² + x + 3 (In factored form, P(x) = -(x + 3)(x + 1)(x – 1).) where 0