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n Problem fandf! 2 5(x) = 3+ x 2x 58 f(x) = - x- 1 aa gon 3x + 4 ino bn 2x - 3 01 o01 61. (x) %3D

n Problem fandf! 2 5(x) = 3+ x 2x 58 f(x) = - x- 1 aa gon 3x + 4 ino bn 2x - 3 01 o01 61. (x) %3D

Calculus: Early Transcendentals
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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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
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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