558 Chapter 10 Functions and Their Graphs EXERCISE 10.2 Answers to Odd-Numbered Problems Begin on Page AN-49. 50. Constructing son, earns $1 In Problems 1-8, find the following values for each function (a) f(0) (b) f(1) (c) f-1) (d) f-x) (e) -f(x)(fx+ 1) (g) f(2x) (h) f(x + h) gross salary , 61. Demand Eq certain prod 1. f(x) = 3x2 + 2x-4 X 3. f(x) 4. f(x) = 2. f(x) = -2x2 + x - 1 2+ 1 5. f(x) = lx + 4 2x+ 1 8. fx) = 1 6. f(x) = x2 + x 7.f(x) Express the 3x-5 52. Demand E certain pro (x+2 In Problems 9-16, find the difference quotient of f, that is, find x +h)- fx)h 0, for each function. Be sure to simplify. h 9. f(x) = 4x + 3 Express t 10. f(x) =-3x + 1 12. f(x) = x+5x-1 11.f(x) x2-x+ 4 53. Demand certain p 13. f(x) = x3 14. f(x) x3- 2x 16. f(x) = 1 15. f(x) = x In Problems 17-28, determine whether the equation is a function. Express tS 54. Deman 17. y x 18. y x3 certain 19. y 20. y x 21. y 4-x2 22. y +V1 - 2x 23. x y2 24. x+ y2 1 Expre 25. y 2x2- 3x + 4 Зх — 1 26. y 27. 2x23y2 1 55. Whe in th 28. 2- 4y2 = 1 x + 2 In Problems 29-42, find the domain of each function. Yea Th 29. f(x)=5x + 4 Ac 30. f(x) x2 + 2 31. f(x) X 2 + 1 32. f(x) = x21 Ye X 33. g(x) 2x 34. h(x) 2 X- x2 16 35. F(x) T xt 4 x3-4x x2 4 36. G(x) x3 t x 11 37. h(x) = V3x 12 38. G(x) V1 - x 4 39. f(x) If X 40. f(x) 11 Vx-9 Vx-4 O 2 b 41. p(x) 42. q(x) V-x - 2 x - 1 V 43. If f(x) of A? 2x+ Ax2+4x- 5 and f(2) = 5, what is the value 56. 11 2x-A 47. If f(x) and f(4) = 0, what is the value of A? Where x -3 is fnot defined? 44. If f(x) = 3x2- Bx + 4 and f(-1) = 12, what is the value of B? x-B 48. If f(x) = 0, and f(1) is undefined, what at f(2) x-A 3x+ 8 2x 4 and f(0) = 2, what is the value of A? Where 45. If f(x) the values of A and B? is fundefined? 49. Constructing Functions Express the gross salary Gof ape son who earns $10 per hour as a function of the number o hours worked. 2x-B 3x + 4 and f(2) is fundefined? 46. If f(x) what is the value of B? Where
558 Chapter 10 Functions and Their Graphs EXERCISE 10.2 Answers to Odd-Numbered Problems Begin on Page AN-49. 50. Constructing son, earns $1 In Problems 1-8, find the following values for each function (a) f(0) (b) f(1) (c) f-1) (d) f-x) (e) -f(x)(fx+ 1) (g) f(2x) (h) f(x + h) gross salary , 61. Demand Eq certain prod 1. f(x) = 3x2 + 2x-4 X 3. f(x) 4. f(x) = 2. f(x) = -2x2 + x - 1 2+ 1 5. f(x) = lx + 4 2x+ 1 8. fx) = 1 6. f(x) = x2 + x 7.f(x) Express the 3x-5 52. Demand E certain pro (x+2 In Problems 9-16, find the difference quotient of f, that is, find x +h)- fx)h 0, for each function. Be sure to simplify. h 9. f(x) = 4x + 3 Express t 10. f(x) =-3x + 1 12. f(x) = x+5x-1 11.f(x) x2-x+ 4 53. Demand certain p 13. f(x) = x3 14. f(x) x3- 2x 16. f(x) = 1 15. f(x) = x In Problems 17-28, determine whether the equation is a function. Express tS 54. Deman 17. y x 18. y x3 certain 19. y 20. y x 21. y 4-x2 22. y +V1 - 2x 23. x y2 24. x+ y2 1 Expre 25. y 2x2- 3x + 4 Зх — 1 26. y 27. 2x23y2 1 55. Whe in th 28. 2- 4y2 = 1 x + 2 In Problems 29-42, find the domain of each function. Yea Th 29. f(x)=5x + 4 Ac 30. f(x) x2 + 2 31. f(x) X 2 + 1 32. f(x) = x21 Ye X 33. g(x) 2x 34. h(x) 2 X- x2 16 35. F(x) T xt 4 x3-4x x2 4 36. G(x) x3 t x 11 37. h(x) = V3x 12 38. G(x) V1 - x 4 39. f(x) If X 40. f(x) 11 Vx-9 Vx-4 O 2 b 41. p(x) 42. q(x) V-x - 2 x - 1 V 43. If f(x) of A? 2x+ Ax2+4x- 5 and f(2) = 5, what is the value 56. 11 2x-A 47. If f(x) and f(4) = 0, what is the value of A? Where x -3 is fnot defined? 44. If f(x) = 3x2- Bx + 4 and f(-1) = 12, what is the value of B? x-B 48. If f(x) = 0, and f(1) is undefined, what at f(2) x-A 3x+ 8 2x 4 and f(0) = 2, what is the value of A? Where 45. If f(x) the values of A and B? is fundefined? 49. Constructing Functions Express the gross salary Gof ape son who earns $10 per hour as a function of the number o hours worked. 2x-B 3x + 4 and f(2) is fundefined? 46. If f(x) what is the value of B? Where
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 19P
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Transcribed Image Text:558
Chapter 10
Functions and Their Graphs
EXERCISE 10.2
Answers to Odd-Numbered Problems Begin on Page AN-49.
50. Constructing
son, earns $1
In Problems 1-8, find the following values for each function
(a) f(0) (b) f(1) (c) f-1) (d) f-x) (e) -f(x)(fx+ 1) (g) f(2x) (h) f(x + h)
gross salary
, 61. Demand Eq
certain prod
1. f(x) = 3x2 + 2x-4
X
3. f(x)
4. f(x) =
2. f(x) = -2x2 + x - 1
2+ 1
5. f(x) = lx + 4
2x+ 1
8. fx) = 1
6. f(x) = x2 + x
7.f(x)
Express the
3x-5
52. Demand E
certain pro
(x+2
In Problems 9-16, find the difference quotient of f, that is, find x +h)- fx)h 0, for each
function. Be sure to simplify.
h
9. f(x) = 4x + 3
Express t
10. f(x) =-3x + 1
12. f(x) = x+5x-1
11.f(x) x2-x+ 4
53. Demand
certain p
13. f(x) = x3
14. f(x) x3- 2x
16. f(x) = 1
15. f(x) = x
In Problems 17-28, determine whether the equation is a function.
Express
tS
54. Deman
17. y x
18. y x3
certain
19. y
20. y x
21. y 4-x2
22. y +V1 - 2x
23. x y2
24. x+ y2 1
Expre
25. y 2x2- 3x + 4
Зх — 1
26. y
27. 2x23y2 1
55. Whe
in th
28. 2- 4y2 = 1
x + 2
In Problems 29-42, find the domain of each function.
Yea
Th
29. f(x)=5x + 4
Ac
30. f(x) x2 + 2
31. f(x)
X
2 + 1
32. f(x) =
x21
Ye
X
33. g(x)
2x
34. h(x)
2
X-
x2 16
35. F(x)
T
xt 4
x3-4x
x2 4
36. G(x)
x3 t x
11
37. h(x) = V3x 12
38. G(x) V1 - x
4
39. f(x)
If
X
40. f(x)
11
Vx-9
Vx-4
O
2
b
41. p(x)
42. q(x) V-x - 2
x - 1
V
43. If f(x)
of A?
2x+ Ax2+4x- 5 and f(2) = 5, what is the value
56.
11
2x-A
47. If f(x)
and f(4) = 0, what is the value of A? Where
x -3
is fnot defined?
44. If f(x) = 3x2- Bx + 4 and f(-1) = 12, what is the value
of B?
x-B
48. If f(x)
= 0, and f(1) is undefined, what at
f(2)
x-A
3x+ 8
2x 4 and f(0) = 2, what is the value of A? Where
45. If f(x)
the values of A and B?
is fundefined?
49. Constructing Functions Express the gross salary Gof ape
son who earns $10 per hour as a function of the number o
hours worked.
2x-B
3x + 4 and f(2)
is fundefined?
46. If f(x)
what is the value of B? Where
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