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 me with 61,67
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![77. The domain of a one-to-one function f is [5, ∞), and its
$f and f!
56. f(x)
4
3+ x
2 - x
57. f(x)
3x
2x
x + 2
59. f(x)
2x
8 f(x)
aneHgononu
x - 1
Зх — 1
60. f(x)
3x + 1
3x + 4
62. f(x)
2х - 3
2x - 3 01b01 y
a al 63. f(x) =
61. f(x)
2x + 3
x + 4
- 3x - 4
x + 2
x2 – 4
64. f(x)
x - 2
65. f(x)
x > 0
x² + 3
66. f(x)
2x2
x > 0
3x2
67. f(x) = x – 4, x 0
68. f(x) = x + 5
69. f(x) = Vx – 2
nibom saodw
70. f(x) = Vr³ + 13oianul szeldignsl sd
tabonsqsordw mulub
1
Tol
f(x) = ¿(x – 1)² + 2, x 1
71.
72. f(x) = 2Vx + 3 - 5
Applications and Extensions
73. Use the graph of y = f(x) given in Proble:m ?7 to avaluate
the following:
82. A function y =
f(x) is decreasing on the interval [0, 5
What conclusions can you draw about the graph of y = f¯'(x`
(a) f(-1)
(b) f(1)
(c) f'(1)
(d) f(2)
83. Find the inverse of the linear function
74. Use the graph of y = f(x) given in Problem 28 to evaluate
the following:
f(x)
— тх + b, т + 0
84. Find the inverse of the function
(a) f(2) (b) f(1)
(c) f-1(0)
A. If f(7) = 13 and f is one-to-one, what is f(13)?
16. If g(-5) = 3 and g is one-to-one, what is g¯'(3)?
(d) f1(-1)
f(x) = Vr² – x², 0 < x <rn
85. A functionf has an inverse function f. If the graph of
in quadrant I, in which quadrant does the graph of f1li
86. A function f has an inverse function f. If the graph of f
quadrant II, in which quadrant does the graph of f ' lie
) - Trl is not one-to-one. Find a su
Tange is [-2, o0 ). State the domain and the range
of f1.
onential](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F206e4edc-a97e-4813-a6d7-3f1210c1c4a6%2Feb98c4d9-ea88-4fb0-94a0-44e9cdbec530%2Fj7cd7d4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:77. The domain of a one-to-one function f is [5, ∞), and its
$f and f!
56. f(x)
4
3+ x
2 - x
57. f(x)
3x
2x
x + 2
59. f(x)
2x
8 f(x)
aneHgononu
x - 1
Зх — 1
60. f(x)
3x + 1
3x + 4
62. f(x)
2х - 3
2x - 3 01b01 y
a al 63. f(x) =
61. f(x)
2x + 3
x + 4
- 3x - 4
x + 2
x2 – 4
64. f(x)
x - 2
65. f(x)
x > 0
x² + 3
66. f(x)
2x2
x > 0
3x2
67. f(x) = x – 4, x 0
68. f(x) = x + 5
69. f(x) = Vx – 2
nibom saodw
70. f(x) = Vr³ + 13oianul szeldignsl sd
tabonsqsordw mulub
1
Tol
f(x) = ¿(x – 1)² + 2, x 1
71.
72. f(x) = 2Vx + 3 - 5
Applications and Extensions
73. Use the graph of y = f(x) given in Proble:m ?7 to avaluate
the following:
82. A function y =
f(x) is decreasing on the interval [0, 5
What conclusions can you draw about the graph of y = f¯'(x`
(a) f(-1)
(b) f(1)
(c) f'(1)
(d) f(2)
83. Find the inverse of the linear function
74. Use the graph of y = f(x) given in Problem 28 to evaluate
the following:
f(x)
— тх + b, т + 0
84. Find the inverse of the function
(a) f(2) (b) f(1)
(c) f-1(0)
A. If f(7) = 13 and f is one-to-one, what is f(13)?
16. If g(-5) = 3 and g is one-to-one, what is g¯'(3)?
(d) f1(-1)
f(x) = Vr² – x², 0 < x <rn
85. A functionf has an inverse function f. If the graph of
in quadrant I, in which quadrant does the graph of f1li
86. A function f has an inverse function f. If the graph of f
quadrant II, in which quadrant does the graph of f ' lie
) - Trl is not one-to-one. Find a su
Tange is [-2, o0 ). State the domain and the range
of f1.
onential
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