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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.

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.

College Algebra (MindTap Course List)
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
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Please help me answer this question.                                                                                                                "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."

Follow the steps for graphing a rational function to graph the function G(x) = 2x x²-9 OA. The function has one vertical asymptote, (Type an equation. Use integers or fractions for any numbers in the equation.) --- B. The function has two vertical asymptotes. The leftmost asymptote is x = -3 and the rightmost asymptote is x= 3. (Type equations. Use integers or fractions for any numbers in the equations.) O C. The function has three vertical asymptotes. The leftmost asymptote is, the middle asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) O D. There is 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 the rightmost asymptote is ⒸA. It approaches ∞ on one side of the asymptote(s) at x = and - ∞ on the other. It approaches either ∞ or -∞o on both sides of the asymptote(s) at x = (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) B. It approaches ∞ on one side of the asymptote(s) at x = and ∞ on the other. (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) C. It approaches either ∞ or -∞ 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.) D. There is no vertical asymptote.
Transcribed Image Text:Follow the steps for graphing a rational function to graph the function G(x) = 2x x²-9 OA. The function has one vertical asymptote, (Type an equation. Use integers or fractions for any numbers in the equation.) --- B. The function has two vertical asymptotes. The leftmost asymptote is x = -3 and the rightmost asymptote is x= 3. (Type equations. Use integers or fractions for any numbers in the equations.) O C. The function has three vertical asymptotes. The leftmost asymptote is, the middle asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) O D. There is 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 the rightmost asymptote is ⒸA. It approaches ∞ on one side of the asymptote(s) at x = and - ∞ on the other. It approaches either ∞ or -∞o on both sides of the asymptote(s) at x = (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) B. It approaches ∞ on one side of the asymptote(s) at x = and ∞ on the other. (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) C. It approaches either ∞ or -∞ 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.) D. There is no vertical asymptote.
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