Analyze the graph of the function R(x) = %3D Determine the behavior of the graph on either side of any vertical asymptotes, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. It approaches co on one side of the asymptote(s) at x = and - o on the other. It approaches either co or - o on both sides of the asymptote(s) at x = (Use a comma to separate answers as needed. Type each answer only once.) B. It approaches either o or - ∞ on both sides of the asymptote(s) at x =: (Use a comma to separate answers as needed. Type each answer only once.) C. It approaches o on one side of the asymptote(s) at x = and - o on the other. (Use a comma to separate answers as needed. Type each answer only once.) D. There is no vertical asymptote. Determine the horiztonal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The horizontal or oblique asymptote is (Simplify your answer. Type an equation.) B. There is no horizontal or oblique asymptote. Determine the points, if any, at which the graph of R intersects the horizontal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The graph of R intersects the horizontal or oblique asymptote at (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) B. There is no point at which the graph of R intersects the horizontal or oblique asymptote. C. There is no horizontal or oblique asymptote. Analyze the graph of the function R(x) = x? Determine the points, if any, at which the graph of R intersects the horizontal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The graph of R intersects the horizontal or oblique asymptote at (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) B. There is no point at which the graph of R intersects the horizontal or oblique asymptote. O C. There is no horizontal or oblique asymptote. To graph R using a graphing utility, determine an appropriate viewing window necessary to obtain a complete graph. Choose the correct answer below. O A. [-6,6,1] by [- 4,0,1] B. [0,6,1] by [- 4,4,1] Oc. [-6,6,1] by [- 4,4,1] O D. [-6,6,1] by [0,4,1] Use the results from the previous steps to graph R. Choose the correct graph below. A. B. OC. D. Ay 4- |х е -6 -6 6.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 7E
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Question
Analyze the graph of the function R(x) =
%3D
Determine the behavior of the graph on either side of any vertical asymptotes, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. It approaches co on one side of the asymptote(s) at x =
and - o on the other. It approaches either co or - o on both sides of the asymptote(s) at x =
(Use a comma to separate answers as needed. Type each answer only once.)
B. It approaches either o or - ∞ on both sides of the asymptote(s) at x =:
(Use a comma to separate answers as needed. Type each answer only once.)
C. It approaches o on one side of the asymptote(s) at x =
and - o on the other.
(Use a comma to separate answers as needed. Type each answer only once.)
D. There is no vertical asymptote.
Determine the horiztonal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The horizontal or oblique asymptote is
(Simplify your answer. Type an equation.)
B. There is no horizontal or oblique asymptote.
Determine the points, if any, at which the graph of R intersects the horizontal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The graph of R intersects the horizontal or oblique asymptote at
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
B. There is no point at which the graph of R intersects the horizontal or oblique asymptote.
C. There is no horizontal or oblique asymptote.
Transcribed Image Text:Analyze the graph of the function R(x) = %3D Determine the behavior of the graph on either side of any vertical asymptotes, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. It approaches co on one side of the asymptote(s) at x = and - o on the other. It approaches either co or - o on both sides of the asymptote(s) at x = (Use a comma to separate answers as needed. Type each answer only once.) B. It approaches either o or - ∞ on both sides of the asymptote(s) at x =: (Use a comma to separate answers as needed. Type each answer only once.) C. It approaches o on one side of the asymptote(s) at x = and - o on the other. (Use a comma to separate answers as needed. Type each answer only once.) D. There is no vertical asymptote. Determine the horiztonal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The horizontal or oblique asymptote is (Simplify your answer. Type an equation.) B. There is no horizontal or oblique asymptote. Determine the points, if any, at which the graph of R intersects the horizontal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The graph of R intersects the horizontal or oblique asymptote at (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) B. There is no point at which the graph of R intersects the horizontal or oblique asymptote. C. There is no horizontal or oblique asymptote.
Analyze the graph of the function R(x) =
x?
Determine the points, if any, at which the graph of R intersects the horizontal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The graph of R intersects the horizontal or oblique asymptote at
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
B. There is no point at which the graph of R intersects the horizontal or oblique asymptote.
O C. There is no horizontal or oblique asymptote.
To graph R using a graphing utility, determine an appropriate viewing window necessary to obtain a complete graph. Choose the correct answer below.
O A. [-6,6,1] by [- 4,0,1]
B. [0,6,1] by [- 4,4,1]
Oc. [-6,6,1] by [- 4,4,1]
O D. [-6,6,1] by [0,4,1]
Use the results from the previous steps to graph R. Choose the correct graph below.
A.
B.
OC.
D.
Ay
4-
|х е
-6
-6
6.
Transcribed Image Text:Analyze the graph of the function R(x) = x? Determine the points, if any, at which the graph of R intersects the horizontal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The graph of R intersects the horizontal or oblique asymptote at (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) B. There is no point at which the graph of R intersects the horizontal or oblique asymptote. O C. There is no horizontal or oblique asymptote. To graph R using a graphing utility, determine an appropriate viewing window necessary to obtain a complete graph. Choose the correct answer below. O A. [-6,6,1] by [- 4,0,1] B. [0,6,1] by [- 4,4,1] Oc. [-6,6,1] by [- 4,4,1] O D. [-6,6,1] by [0,4,1] Use the results from the previous steps to graph R. Choose the correct graph below. A. B. OC. D. Ay 4- |х е -6 -6 6.
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