70. Applications and Extensions 73. Use the graph of y = f(x) given in Problem 27 to evaluate g(* - 1)2 the following: OR (b) f(1) 8. (a) f(-1) (c) f-1(1) (d) f-1 (2)

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 73
In Problems 27–32, the graph of a one-to-one function f is §
28.
y = x
27.
y
(1, 2)
(0, 1)
,(-1,0)
to do s o
3 X
-3
(-2, -2)
(-2, -2)
(h)
-) () (E-
-3
10 og y= x
y A
3
30.
lo niemob
(-2, 1). d)
-3
3 x
-3
(1,-1)
-3F
-3
In Problems 33–42, verify that the functions f and g are invero
values of x that need to be excluded from the don
33. f(x) = 3r
Transcribed Image Text:In Problems 27–32, the graph of a one-to-one function f is § 28. y = x 27. y (1, 2) (0, 1) ,(-1,0) to do s o 3 X -3 (-2, -2) (-2, -2) (h) -) () (E- -3 10 og y= x y A 3 30. lo niemob (-2, 1). d) -3 3 x -3 (1,-1) -3F -3 In Problems 33–42, verify that the functions f and g are invero values of x that need to be excluded from the don 33. f(x) = 3r
g(* - 1)2 + 2.
70.
73. Use the graph of y = f(x) given in Problem 27 to evaluate
74. Use the graph of y = f(x) given in Problem 28 to evaluate
y=f(x) to represent a function, an applied problem might use C = C(q) to
of this, the inverse notation f¯ used in a pure mathematics problem is not use
inits manufactured, and q = q(C) is a function that represents the number -
ofa function such as C = C(q) will be q = q(C). So C = C(q) is a func
In applications, the symbols used for the independent and dependent varia=
89, Vehicle Stopping Distance Taking into account reaction time,
82. F
the following:
(b) f(1)
(c) f¯1(1)
(d) f1(2)
(a) f(-1)
83. E
the following:
(c) f'(0)
(d) f-'(-1)
13 and fis one-to-one, what is f(13)?
-1/219
84.
(a) f(2) (b) f(1)
75. If f(7)
76, If g(-5) = 3 and g is one-to-one, what is g¯1(3)?
77. The domain of a one-to-one function f is [5, 0), and its
range is [-2, 0). State the domain and the range of f-1.
85.
86.
78. The domain of a one-to-one function f is [0, ∞), and its
range is [5, ∞ ). State the domain and the range of f.
79. The domain of a one-to-one function g is (-∞,0], and its
range is [0, ∞ ). State the domain and the range of g.
80. The domain of a one-to-one function g is [0, 15],and its range
is (0, 8). State the domain and the range of g.
87.
88.
Ol. A function y = f(x) is increasing on the interval [0, 5].What
conclusions can you draw about the graph of y = f"(x)?
%3D
%3D
the distan
n to a complete
Transcribed Image Text:g(* - 1)2 + 2. 70. 73. Use the graph of y = f(x) given in Problem 27 to evaluate 74. Use the graph of y = f(x) given in Problem 28 to evaluate y=f(x) to represent a function, an applied problem might use C = C(q) to of this, the inverse notation f¯ used in a pure mathematics problem is not use inits manufactured, and q = q(C) is a function that represents the number - ofa function such as C = C(q) will be q = q(C). So C = C(q) is a func In applications, the symbols used for the independent and dependent varia= 89, Vehicle Stopping Distance Taking into account reaction time, 82. F the following: (b) f(1) (c) f¯1(1) (d) f1(2) (a) f(-1) 83. E the following: (c) f'(0) (d) f-'(-1) 13 and fis one-to-one, what is f(13)? -1/219 84. (a) f(2) (b) f(1) 75. If f(7) 76, If g(-5) = 3 and g is one-to-one, what is g¯1(3)? 77. The domain of a one-to-one function f is [5, 0), and its range is [-2, 0). State the domain and the range of f-1. 85. 86. 78. The domain of a one-to-one function f is [0, ∞), and its range is [5, ∞ ). State the domain and the range of f. 79. The domain of a one-to-one function g is (-∞,0], and its range is [0, ∞ ). State the domain and the range of g. 80. The domain of a one-to-one function g is [0, 15],and its range is (0, 8). State the domain and the range of g. 87. 88. Ol. A function y = f(x) is increasing on the interval [0, 5].What conclusions can you draw about the graph of y = f"(x)? %3D %3D the distan n to a complete
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