x +1 x(x +4) 8. R(x) = 9. R(x) 2x + 4 %3D 7. R(x) (x- 1) (x + 2) %3D x* + x² + 1 Gra x2 1 \13. P(x) 3 11. R(x) = %3D 12. R(x) %3D x - 6

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
7,13
6. Multiple Choice Identify the y-intercept of the graph o
x² - 1
(pp. 12-13)
x2 - 4
1. Find the intercepts of the graph of the equation y =
x(x - 2)2
x - 2
Concepts and Vocabulary
5. R(x) =
2. True or False The graph of every rational function has at
least one asymptote.
(a) Find the domain of R.
hoW (b) Find the x-intercepts of R.
3. Multiple Choice Which type of asymptote will never
intersect the graph of a rational function?
(a) horizontal
(c) vertical
6(x - 1)
(b) oblique
(d) all of these
A ev R(x) =
(x + 1) (x + 2)*
lde
4. True or False The graph of a rational function sometimes
has a hole.
(b) -2
(c) -1
(а) -3
nibni
(d) 1
thotion
odt ni zo m
Skill Building
Sonal h
2x + 4
In Problems 7–50, follow Steps 1 through 7 on page 211 to graph each function.
3x + 3
x + 1
x(x + 4)onoilon es
10. R(x) =
x - 1
\7. R(x) =
8. R(x) =
9. R(x) =
2x + 4
(x - 1) (x + 2)
pidgeng 4 + x² + 1
\13. P(x) =
x* - 1
14. Q(x) =
x - 4
6
3
11. R(x) =
12. R(x)
x2 – 1
r2 - 4
x - x - 6
x² + x- 12
x - 4
x²
x - 1 16. G(x) =
x? - 9oubog o 1
x + 1
18. R(x)
\15. H(x) =
3o ne
o dans 2oonio owt bns
19. G(x) =
17. R(x) =
x² + 2x ndi
x? + x – 6
-4
3x
gakut 20. G(x) =
x² - 1
21. R(x) =
22. R(x)
x2 – 4
sbreodi lo zo0 ood
x - 1
(x – 1) (x² – 4)
(x + 1)(r'-
x + 4
x2
25. F(x)
x? + 3x + 2
23. H(x) =
S0.0
x* - 16
24. H(x) =
Зх - 4
26. F(x)
x4 - 1
x + 2
x -1
27. R(x)
x² + x – 12
28. R(x) =
x² - x - 12
r2 + x - 12
-x- 12
%3D
x - 4
x + 5
29. F(x) =
30. G(x) =
x + 2
x +1
x(x – 1)2
(x + 3)3
(x- 1) (x + 2) (x – 3)
x (x - 4)2
\31. R(x) =
32. R(x) =
x2 + x – 12
e odo e
33. R(x) =
x² - x - 6
x? + 3x - 10
6x2 - 7x - 3or al fedi
2x - 7x + 6
34. R(x) =
35. R(x) =
x² + 8x + 15
8x? + 26x + 15
36. R(x) =
x? + 5x + 6
2x2 - x - 15
x + x - 30
37. R(x) =
s lo noitoul
38. R(x) =
te boit
x² - 5x + 4
x - 2x + 1
x + 3
3x - 6
x + 6
39. H(x) =
2 - 2r
x? - 1
4 - x2
40. H(x) =
41. F(x) =
42. F(x) =
x? - 2x - 15
x² + 6x + 9
43. G(x)
(x +2)2
2 - x
44. G(x) =
45. f(x) = x +
(x - 1)2
1
9
46. f(x) = 2x +
47. f(x)
16
48. f(x) = 2x2 +
49. f(x) = x +
9.
50. f(x) = 2x +
Transcribed Image Text:6. Multiple Choice Identify the y-intercept of the graph o x² - 1 (pp. 12-13) x2 - 4 1. Find the intercepts of the graph of the equation y = x(x - 2)2 x - 2 Concepts and Vocabulary 5. R(x) = 2. True or False The graph of every rational function has at least one asymptote. (a) Find the domain of R. hoW (b) Find the x-intercepts of R. 3. Multiple Choice Which type of asymptote will never intersect the graph of a rational function? (a) horizontal (c) vertical 6(x - 1) (b) oblique (d) all of these A ev R(x) = (x + 1) (x + 2)* lde 4. True or False The graph of a rational function sometimes has a hole. (b) -2 (c) -1 (а) -3 nibni (d) 1 thotion odt ni zo m Skill Building Sonal h 2x + 4 In Problems 7–50, follow Steps 1 through 7 on page 211 to graph each function. 3x + 3 x + 1 x(x + 4)onoilon es 10. R(x) = x - 1 \7. R(x) = 8. R(x) = 9. R(x) = 2x + 4 (x - 1) (x + 2) pidgeng 4 + x² + 1 \13. P(x) = x* - 1 14. Q(x) = x - 4 6 3 11. R(x) = 12. R(x) x2 – 1 r2 - 4 x - x - 6 x² + x- 12 x - 4 x² x - 1 16. G(x) = x? - 9oubog o 1 x + 1 18. R(x) \15. H(x) = 3o ne o dans 2oonio owt bns 19. G(x) = 17. R(x) = x² + 2x ndi x? + x – 6 -4 3x gakut 20. G(x) = x² - 1 21. R(x) = 22. R(x) x2 – 4 sbreodi lo zo0 ood x - 1 (x – 1) (x² – 4) (x + 1)(r'- x + 4 x2 25. F(x) x? + 3x + 2 23. H(x) = S0.0 x* - 16 24. H(x) = Зх - 4 26. F(x) x4 - 1 x + 2 x -1 27. R(x) x² + x – 12 28. R(x) = x² - x - 12 r2 + x - 12 -x- 12 %3D x - 4 x + 5 29. F(x) = 30. G(x) = x + 2 x +1 x(x – 1)2 (x + 3)3 (x- 1) (x + 2) (x – 3) x (x - 4)2 \31. R(x) = 32. R(x) = x2 + x – 12 e odo e 33. R(x) = x² - x - 6 x? + 3x - 10 6x2 - 7x - 3or al fedi 2x - 7x + 6 34. R(x) = 35. R(x) = x² + 8x + 15 8x? + 26x + 15 36. R(x) = x? + 5x + 6 2x2 - x - 15 x + x - 30 37. R(x) = s lo noitoul 38. R(x) = te boit x² - 5x + 4 x - 2x + 1 x + 3 3x - 6 x + 6 39. H(x) = 2 - 2r x? - 1 4 - x2 40. H(x) = 41. F(x) = 42. F(x) = x? - 2x - 15 x² + 6x + 9 43. G(x) (x +2)2 2 - x 44. G(x) = 45. f(x) = x + (x - 1)2 1 9 46. f(x) = 2x + 47. f(x) 16 48. f(x) = 2x2 + 49. f(x) = x + 9. 50. f(x) = 2x +
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