8x - 14x -9 4x² - 21x + 27 Follow the steps for graphing a rational function to graph the function R(x) = 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(es) to com le your choice. and - 00 on the other. It approaches either 00 or - 00 on both sides of the asymptote(s) at x = O A. It approaches o on one side of the asymptote(s) at x= (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) O B. It approaches o on one side of the asymptote(s) at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) and - 00 on the other. O C. It approaches either o or - 00 on both sides of the asymptote(s) at x=. (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) O D. The function has no vertical asymptote. Determine the horizontal asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has two horizontal asymptotes. The top asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) and the bottom asymptote is
8x - 14x -9 4x² - 21x + 27 Follow the steps for graphing a rational function to graph the function R(x) = 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(es) to com le your choice. and - 00 on the other. It approaches either 00 or - 00 on both sides of the asymptote(s) at x = O A. It approaches o on one side of the asymptote(s) at x= (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) O B. It approaches o on one side of the asymptote(s) at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) and - 00 on the other. O C. It approaches either o or - 00 on both sides of the asymptote(s) at x=. (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) O D. The function has no vertical asymptote. Determine the horizontal asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has two horizontal asymptotes. The top asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) and the bottom asymptote is
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 108E
Related questions
Question
![8x? - 14x -9
Follow the steps for graphing a rational function to graph the function R(x) =
4x? - 21x +27
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(es) to com
te your choice.
O A. It approaches o on one side of the asymptote(s) at x =
(Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.)
and - 00 on the other. It approaches either oo or - 00 on both sides of the asymptote(s) at x =
O B. It approaches oo on one side of the asymptote(s) at x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
and - 00 on the other.
O C. It approaches either oo or - 00 on both sides of the asymptote(s) at x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
O D. The function has no vertical asymptote.
Determine the horizontal asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The function has two horizontal asymptotes. The top asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
and the bottom asymptote is
Click to select your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3eb4796e-4e65-412b-bad3-981fcf7c7f55%2F5b31272f-93c5-4849-9645-06cc0fb212b7%2Fbsxb6x_processed.png&w=3840&q=75)
Transcribed Image Text:8x? - 14x -9
Follow the steps for graphing a rational function to graph the function R(x) =
4x? - 21x +27
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(es) to com
te your choice.
O A. It approaches o on one side of the asymptote(s) at x =
(Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.)
and - 00 on the other. It approaches either oo or - 00 on both sides of the asymptote(s) at x =
O B. It approaches oo on one side of the asymptote(s) at x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
and - 00 on the other.
O C. It approaches either oo or - 00 on both sides of the asymptote(s) at x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
O D. The function has no vertical asymptote.
Determine the horizontal asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The function has two horizontal asymptotes. The top asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
and the bottom asymptote is
Click to select your answer.
![8x? - 14x - 9
Follow the steps for graphing a rational function to graph the function R(x) =
4x2 - 21x+ 27
Determine the vertical asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
the middle asymptote is
and the rightmost asymptote is
O A. The function has three vertical asymptotes. The leftmost asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
O B. The function has two vertical asymptotes. The leftmost asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
and the rightmost asymptote is
O C. The function has one vertical asymptote,
(Type an equation. Use integers or fractions for any numbers in the equation.)
O D. The function has no vertical asymptote.
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(es) to complete your choice.
and - 0 on the other. It approaches either oo or - o on both sides of the asymptote(s) at x =
O A. It approaches o on one side of the asymptote(s) at x =
(Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.)
Click to select your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3eb4796e-4e65-412b-bad3-981fcf7c7f55%2F5b31272f-93c5-4849-9645-06cc0fb212b7%2Fvijzbyr_processed.png&w=3840&q=75)
Transcribed Image Text:8x? - 14x - 9
Follow the steps for graphing a rational function to graph the function R(x) =
4x2 - 21x+ 27
Determine the vertical asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
the middle asymptote is
and the rightmost asymptote is
O A. The function has three vertical asymptotes. The leftmost asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
O B. The function has two vertical asymptotes. The leftmost asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
and the rightmost asymptote is
O C. The function has one vertical asymptote,
(Type an equation. Use integers or fractions for any numbers in the equation.)
O D. The function has no vertical asymptote.
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(es) to complete your choice.
and - 0 on the other. It approaches either oo or - o on both sides of the asymptote(s) at x =
O A. It approaches o on one side of the asymptote(s) at x =
(Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.)
Click to select your answer.
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