32,36,42,44,52,58 and 64

igital Content | Texas Tech Ur x | MBS Direct: Precalculus with L X pageid/76 Q AA ... determine the intervals on which the function is increasing, decreasing, or constant (a) use a graphing utility to graph the function and visually determine the intervals on which the function is 31. f(x) = 3x 32. f(x) = 12 - 4x increasing, decreasing, or constant, and (b) make a table of values to verify whether the function is increasing, decreasing, or constant on the intervals you identified in part (a). 39. f(x) = 3 40. 8(x) = x -2 2 41. 8(s) = 42. f( x) = 3x4 - 6x2 43. f (x) = V1 - x 44. f ( x) = xVx+ 3 45. f (x) =x3/2 46. f( x) =x2/3 33. f(x) = x7 - 3x2 + 2 34. f (x) = Vx2 - 1 Approximationg Relative Minima or Maxima In Exercises 47-54, use a graphing utility to graph the function and approximate (to two decimal places) any relative minima or maxima. 2 (-1, 0) 47. f(x) = 3x2 - 2x - 5 48. f(x) = -x2+ 3x - 2 - 4 - 2 2 49. f(x) = -2x2 + 9x 50. f(x) = x(x - 2)(x + 3) -2- 51. f(x) = x3 - 3x2 - x+ 1 52. h(x ) = x3 - 6x2 + 15 35. f(x) = |x + 1/ + /x - 1 36. f(x) = * + x+ 1 x+1 53. h(x) = (x - 1) /x 54. 8(x) = x 4 - x Graphical Analysis In Exercises 55-60, graph the function and determine the interval(s) for which (0, 1) f(x) 2 0. A -2 55. f (x) = 4 - x 56. f(x) = 4x + 2 (-1, 2) (1, 2) (-2, -3) -2 57. f(x) = 9 -x2 58. f(x) = x2 - 4x 59. f(x) = Vx - 1 60. f(x) = -(1 + 1x1) -2 + 2 4 Average Rate of Change of a Function In (x + 3, Exercises 61-64, find the average rate of change of the 37. f(x) = 3, 0 2 Function x-Values 61. f(x) = -2x + 15 x 1 = 0, *2 = 3 62. f(x) = x2 - 2x + 8 * 1 = 1, x2 = 5 63. f(x) = x3 - 3x2 - x x1 = 1, x2 = 3 64. f(x) = -x3 + 6x2 + x *1 = 1 , X2 = 6 MacBook Air DD DII DD