EXERCISE 10.2 Answers to Odd-Numbered Problems Bey 1HA gr 5Dems cert (a) f(0) (b) f(1) (e) f-1) (d) f(-x) (e) -f(x) () fx + 1) (g) f(2x) (h) f(x + h) 3. f(x) 1 In Problems 1-8, find the following values for each fiunction x2-1 4. f(x)= x +4 X 1. f(x) 3x2 2x - 4 2. f(x) = -2x2 +x-1 Exp 2x + 1 7. f(x)3x 5 8. f(x)= 1 - (x+2P 52. De ce 5. f(x) x +4 6. f(x) x2 + x In Problems 9-16, find the difference quotient of f, that is, find x+ h)f h # 0, for each function. Be sure to simplify. h 9. f(x) = 4x + 3 10. f(x) -3x + 1 11. f(x) x2- x + 4 12. f(x) x + 5x-1 53. D 1 16. f(x) X 13. f(x) x 14. f(x) x3 - 2x 15. f(x) x In Problems 17-28, determine whether the equation is a function. 54. 17. y x2 18. y x 1 19. y 21. y 4-x 22. y V1 - 2x 20. y x Sey 23. x y 25. y 2x2 3x + 4 3x 1 26. y x + 2 24. x + y2 1 27. 2x2 3y2 1 5 In Problems 29-42, find the domain of each function. 28. x 4y2 1 29. f(x)=-5x + 4 30. f(x) x2 +2 31. f(x) X 33. g(x)x2- 16 X x2+1 2x 34. h(x)x- 4 1 32. f(x)= 37. h(x) 35. F(x) x2 3.x x2+1 12
EXERCISE 10.2 Answers to Odd-Numbered Problems Bey 1HA gr 5Dems cert (a) f(0) (b) f(1) (e) f-1) (d) f(-x) (e) -f(x) () fx + 1) (g) f(2x) (h) f(x + h) 3. f(x) 1 In Problems 1-8, find the following values for each fiunction x2-1 4. f(x)= x +4 X 1. f(x) 3x2 2x - 4 2. f(x) = -2x2 +x-1 Exp 2x + 1 7. f(x)3x 5 8. f(x)= 1 - (x+2P 52. De ce 5. f(x) x +4 6. f(x) x2 + x In Problems 9-16, find the difference quotient of f, that is, find x+ h)f h # 0, for each function. Be sure to simplify. h 9. f(x) = 4x + 3 10. f(x) -3x + 1 11. f(x) x2- x + 4 12. f(x) x + 5x-1 53. D 1 16. f(x) X 13. f(x) x 14. f(x) x3 - 2x 15. f(x) x In Problems 17-28, determine whether the equation is a function. 54. 17. y x2 18. y x 1 19. y 21. y 4-x 22. y V1 - 2x 20. y x Sey 23. x y 25. y 2x2 3x + 4 3x 1 26. y x + 2 24. x + y2 1 27. 2x2 3y2 1 5 In Problems 29-42, find the domain of each function. 28. x 4y2 1 29. f(x)=-5x + 4 30. f(x) x2 +2 31. f(x) X 33. g(x)x2- 16 X x2+1 2x 34. h(x)x- 4 1 32. f(x)= 37. h(x) 35. F(x) x2 3.x x2+1 12
Transcribed Image Text:EXERCISE 10.2 Answers to Odd-Numbered Problems Bey
1HA
gr
5Dems
cert
(a) f(0) (b) f(1) (e) f-1) (d) f(-x) (e) -f(x) () fx + 1) (g) f(2x) (h) f(x + h)
3. f(x) 1
In Problems 1-8, find the following values for each fiunction
x2-1
4. f(x)=
x +4
X
1. f(x) 3x2 2x - 4
2. f(x) = -2x2 +x-1
Exp
2x + 1
7. f(x)3x 5
8. f(x)= 1 -
(x+2P
52. De
ce
5. f(x) x +4
6. f(x) x2 + x
In Problems 9-16, find the difference quotient of f, that is, find x+ h)f h # 0, for each
function. Be sure to simplify.
h
9. f(x) = 4x + 3
10. f(x) -3x + 1
11. f(x) x2- x + 4
12. f(x) x + 5x-1
53. D
1
16. f(x)
X
13. f(x) x
14. f(x) x3 - 2x
15. f(x) x
In Problems 17-28, determine whether the equation is a function.
54.
17. y x2
18. y x
1
19. y
21. y 4-x
22. y V1 - 2x
20. y x
Sey 23. x y
25. y
2x2 3x + 4
3x 1
26. y x + 2
24. x + y2 1
27. 2x2 3y2 1
5
In Problems 29-42, find the domain of each function.
28. x
4y2 1
29. f(x)=-5x + 4
30. f(x) x2 +2
31. f(x)
X
33. g(x)x2- 16
X
x2+1
2x
34. h(x)x- 4
1
32. f(x)=
37. h(x)
35. F(x) x2
3.x
x2+1
12
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Contemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage Learning
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSON
Introduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education