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: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please help with the top three highlighted questions. Thank you.
![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<](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41cea5f8-d9ac-4287-9348-8fd9838f78f6%2F56e7cc51-1178-4d23-8c48-41700051bb97%2Fphwffqn_processed.jpeg&w=3840&q=75)
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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