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Follow the steps for graphing a rational function to graph the function R(x)=- x²-x-6 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. OA. There is no point at which the graph of R intersects the horizontal or oblique asymptote. OB. The graph of R intersects the horizontal or oblique asymptote at infinitely many points. C. The graph of R intersects the horizontal or oblique asymptote at (-6, 1). (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) OD. There is no horizontal or oblique asymptote. Use the real zeros of the numerator and denominator of R to divide the x-axis into intervals. Determine where the graph of R is above or below the x-axis by choosing a number in each interval and evaluating R there. Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The graph of R is below the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) ⒸB. The graph of R is above the x-axis on the interval(s) (-∞, -2), (3, ∞) and below the x-axis on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) OC. The graph of R is above the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.)

Follow the steps for graphing a rational function to graph the function R(x)=- x²-x-6 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. OA. There is no point at which the graph of R intersects the horizontal or oblique asymptote. OB. The graph of R intersects the horizontal or oblique asymptote at infinitely many points. C. The graph of R intersects the horizontal or oblique asymptote at (-6, 1). (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) OD. There is no horizontal or oblique asymptote. Use the real zeros of the numerator and denominator of R to divide the x-axis into intervals. Determine where the graph of R is above or below the x-axis by choosing a number in each interval and evaluating R there. Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The graph of R is below the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) ⒸB. The graph of R is above the x-axis on the interval(s) (-∞, -2), (3, ∞) and below the x-axis on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) OC. The graph of R is above the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.)

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.  The correct answer is "B," I need help finishing it.  Thanks.

Follow the steps for graphing a rational function to graph the function R(x) = x² x²-x-6 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. O A. There is no point at which the graph of R intersects the horizontal or oblique asymptote. B. The graph of R intersects the horizontal or oblique asymptote at infinitely many points. C. The graph of R intersects the horizontal or oblique asymptote at (-6, 1). (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) O D. There is no horizontal or oblique asymptote. - Use the real zeros of the numerator and denominator of R to divide the x-axis into intervals. Determine where the graph of R is above or below the x-axis by choosing a number in each interval and evaluating R there. Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The graph of R is below the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The graph of R is above the x-axis on the interval(s) -∞, -2), (3, ∞) and below the x-axis on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) OC. The graph of R is above the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.)
Transcribed Image Text:Follow the steps for graphing a rational function to graph the function R(x) = x² x²-x-6 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. O A. There is no point at which the graph of R intersects the horizontal or oblique asymptote. B. The graph of R intersects the horizontal or oblique asymptote at infinitely many points. C. The graph of R intersects the horizontal or oblique asymptote at (-6, 1). (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) O D. There is no horizontal or oblique asymptote. - Use the real zeros of the numerator and denominator of R to divide the x-axis into intervals. Determine where the graph of R is above or below the x-axis by choosing a number in each interval and evaluating R there. Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The graph of R is below the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The graph of R is above the x-axis on the interval(s) -∞, -2), (3, ∞) and below the x-axis on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) OC. The graph of R is above the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.)
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