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In Exercises 53-78, graph the piecewise-defined functions. State the domain and range in interval notation. Determine the intervals where the function is increasing, decreasing, or constant. x< 2 S-x x< -1 1 x< -1 53. f(x) 12 54. f(x) : %3D 55. f(x) = -1

In Exercises 53-78, graph the piecewise-defined functions. State the domain and range in interval notation. Determine the intervals where the function is increasing, decreasing, or constant. x< 2 S-x x< -1 1 x< -1 53. f(x) 12 54. f(x) : %3D 55. f(x) = -1

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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Vx V x + 1 In Exercises 45-52, find the average rate of change of the function from x 1 to x = 3. 45. f(x) = x 46.) f(x) 47. f(x) = \x| 48. f(x) = 2x 49. f(x) = 1- 2x 50. f(x) = 9 – x? 51. f(x) = |5 - 2x| 52. f(x) = V – 1 In Exercises 53-78, graph the piecewise-defined functions. State the domain and range in interval notation. Determine the intervals where the function is increasing, decreasing, or constant. Jx x<2 (2 53. f(x) x < -1 1 x<-1 x -1 54. f(x) %3D 55. f(x) = -1 x> -1 Jx? x< 2 Jx x< 0 56. f(x) = 57. f(x) %3D x- 58. f(x) = x>0 59. f(x) = S-x + 2 x< 1 60. f(x) (2 + x x<-1 5 - 2x x < 2 61. f(x) = %3D x> 1 x> -1 3x - 2 x> 2 1 x< -2 -1 x< - 1 -1 x< -1 2" 62. f(x) = 63. G(x) = -1 <x< 3 64. G(x) = {x -1<x< %3D 3 4 + -x x> -2 3 x> 3 x> 3 x< - t< 1 1<t< 2 < 1 1 -x-1 66. G(t) 67. f(x) = {x + 1 -2 < %3D t> 2 (-x +1 x21 - 2 so x<1 70. G(x) = 2<x<1 69. G(x) x> 1 1 -1<x<
Transcribed Image Text:Vx V x + 1 In Exercises 45-52, find the average rate of change of the function from x 1 to x = 3. 45. f(x) = x 46.) f(x) 47. f(x) = \x| 48. f(x) = 2x 49. f(x) = 1- 2x 50. f(x) = 9 – x? 51. f(x) = |5 - 2x| 52. f(x) = V – 1 In Exercises 53-78, graph the piecewise-defined functions. State the domain and range in interval notation. Determine the intervals where the function is increasing, decreasing, or constant. Jx x<2 (2 53. f(x) x < -1 1 x<-1 x -1 54. f(x) %3D 55. f(x) = -1 x> -1 Jx? x< 2 Jx x< 0 56. f(x) = 57. f(x) %3D x- 58. f(x) = x>0 59. f(x) = S-x + 2 x< 1 60. f(x) (2 + x x<-1 5 - 2x x < 2 61. f(x) = %3D x> 1 x> -1 3x - 2 x> 2 1 x< -2 -1 x< - 1 -1 x< -1 2" 62. f(x) = 63. G(x) = -1 <x< 3 64. G(x) = {x -1<x< %3D 3 4 + -x x> -2 3 x> 3 x> 3 x< - t< 1 1<t< 2 < 1 1 -x-1 66. G(t) 67. f(x) = {x + 1 -2 < %3D t> 2 (-x +1 x21 - 2 so x<1 70. G(x) = 2<x<1 69. G(x) x> 1 1 -1<x<
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