1,7 Cat OF the time required to doubleå lump sum of money (p. 330)1 Model populations that obey the law of uninhibitedgrowth (p. 335)2 Model populations that obey the law of uninhibited decay (p. 337)3 Use Newton's Law of Cooling (p. 338)4 Use logistic models (p. 340)1 Build an exponential model from data (p. 346)2 Build a logarithmic model from data (p. 348)3 Build a logistic model from data (p. 348)6,7515.81,255353, 564545,6575.915859360Review Exercises(b) (gof)(-2)(a) (fog) (2)1. f(x) = 3x – 5; g(x) = 1 – 2r?(c) (fof)(4)2. f(x) = Vx + 2; g(x) = 2x² + 1Problems 4-6, find f ° g, g ° f, ƒ° f, and g º g for each pair of functions. State the domain of each composite function.(b) (g°g) (-1)3. f(x) = e*; g(x) = 3x – 24. f(x) = 2 – x; g(x) = 3x + 17 (e) Verify that the function below is one-to-one. (b) Find its inverse.{ (1,2), (3, 5), (5, 8), (6, 10) }8 The graph of a function f is given below. State why f is one-to-one. Then draw the graph of the inverse function f.5. f(x) = V3x; g(x) = 1 + x + x?x + 116. f(x) = 8(x) =eview Exerdser4y = X(3, 3)-4(2, 0) 4 X(0, -2)(-1,-3)n Problems 9 and 10, verify that the functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) = x.any values of x that need to be excluded from the domain of f and the domain of g.Give40)41Ex + 2X - 4;8(x)9. f(x) = 5x – 10; g (x)10. f(x)1- x%3D

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3, Review Exerclses In Problems 1-3, for each pair of functions f and g, find: (b) (gof) (-2) (a) (fog) (2) 1. f(x) = 3x – 5; g(x) = 1 – 2r² (c) (f•f) (4) (b) (gog) (-1) 2. f(x) = Vx + 2; g(x) = 2x² + 1 %3D

3, Review Exerclses In Problems 1-3, for each pair of functions f and g, find: (b) (gof) (-2) (a) (fog) (2) 1. f(x) = 3x – 5; g(x) = 1 – 2r² (c) (f•f) (4) (b) (gog) (-1) 2. f(x) = Vx + 2; g(x) = 2x² + 1 %3D

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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Topic Video

Question

1,7

Cat OF the time required to double
å lump sum of money (p. 330)
1 Model populations that obey the law of uninhibited
growth (p. 335)
2 Model populations that obey the law of uninhibited decay (p. 337)
3 Use Newton's Law of Cooling (p. 338)
4 Use logistic models (p. 340)
1 Build an exponential model from data (p. 346)
2 Build a logarithmic model from data (p. 348)
3 Build a logistic model from data (p. 348)
6,7
51
5.8
1,2
55
3
53, 56
4
54
5,6
57
5.9
1
58
59
3
60
Review Exercises
(b) (gof)(-2)
(a) (fog) (2)
1. f(x) = 3x – 5; g(x) = 1 – 2r?
(c) (fof)(4)
2. f(x) = Vx + 2; g(x) = 2x² + 1
Problems 4-6, find f ° g, g ° f, ƒ° f, and g º g for each pair of functions. State the domain of each composite function.
(b) (g°g) (-1)
3. f(x) = e*; g(x) = 3x – 2
4. f(x) = 2 – x; g(x) = 3x + 1
7 (e) Verify that the function below is one-to-one. (b) Find its inverse.
{ (1,2), (3, 5), (5, 8), (6, 10) }
8 The graph of a function f is given below. State why f is one-to-one. Then draw the graph of the inverse function f.
5. f(x) = V3x; g(x) = 1 + x + x?
x + 1
1
6. f(x) = 8(x) =
eview Exerdser
4
y = X
(3, 3)
-4
(2, 0) 4 X
(0, -2)
(-1,-3)
n Problems 9 and 10, verify that the functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) = x.
any values of x that need to be excluded from the domain of f and the domain of g.
Give
40)
4
1
Ex + 2
X - 4
;8(x)
9. f(x) = 5x – 10; g (x)
10. f(x)
1- x
%3D

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