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to + 2 x<1 59. fx) = %3D

to + 2 x<1 59. fx) = %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Please do the one circled in pencil.
45. f(x) = x³ 46. f(x) = - 47. f(x) = |x| 48. f(x) = 2x consta 49. f(x) = 1- 2r 50. f(x) = 9 -x² 51. f(x) = 15- 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. (x x<2 53, f(x) = 54. f(x) = 55. f(x) = 12 x 2 (-1 x2 -1 x x< 2 f(x) = 4 10 57. f(x) = 58. f(x) = x2 2 x² x20 x>0 ーx+ 2 (2 + x xs -1 5 - 2x x<2 3x - 2 x< 1 59. f(x) = 60. f(x) = x² 61. f(x) = x> -1 x> 2 3 - -x 2 -1 x< - 1 -1 <x< 3 3 -1 62. f(x) = 63. G(x) = {x 64. G(x) = {x -1<x<3 3 x> -2 x> 3 x> 3 (1 i<1 -x-1 x<-2 -2 <x<1 t<1 65. G(1) = 1<t< 2 4 66. G(t) =くだ 67. f(x) = {x + 1 4 t>2 t> 2 (-x - 1 68. f(x) = {x + 1 xS - 2 -2 <x<1 -x +1 x> 1 So x< 0 70. G(2) = {V r<1 69. G(x) = V x20 x>1 (-Vx xs-1 71. G(x) = 72. G(x) = 73. G(x) = {x -1<x<1 Xチ0 97
Transcribed Image Text:45. f(x) = x³ 46. f(x) = - 47. f(x) = |x| 48. f(x) = 2x consta 49. f(x) = 1- 2r 50. f(x) = 9 -x² 51. f(x) = 15- 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. (x x<2 53, f(x) = 54. f(x) = 55. f(x) = 12 x 2 (-1 x2 -1 x x< 2 f(x) = 4 10 57. f(x) = 58. f(x) = x2 2 x² x20 x>0 ーx+ 2 (2 + x xs -1 5 - 2x x<2 3x - 2 x< 1 59. f(x) = 60. f(x) = x² 61. f(x) = x> -1 x> 2 3 - -x 2 -1 x< - 1 -1 <x< 3 3 -1 62. f(x) = 63. G(x) = {x 64. G(x) = {x -1<x<3 3 x> -2 x> 3 x> 3 (1 i<1 -x-1 x<-2 -2 <x<1 t<1 65. G(1) = 1<t< 2 4 66. G(t) =くだ 67. f(x) = {x + 1 4 t>2 t> 2 (-x - 1 68. f(x) = {x + 1 xS - 2 -2 <x<1 -x +1 x> 1 So x< 0 70. G(2) = {V r<1 69. G(x) = V x20 x>1 (-Vx xs-1 71. G(x) = 72. G(x) = 73. G(x) = {x -1<x<1 Xチ0 97
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Circled question is given with;

 

                                                 f(x)=-x+2x<1x2x≥1

 

Domain ∈-∞,∞

 

Range ∈1, ∞

 

Function is increasing for interval : x∈1, ∞

And function is decreasing for interval : x ∈ -∞, 1

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