Follow the steps for graphing a rational function to graph the function G(x) = 2x x²2²-9 Determine the points, if any, at which the graph of G 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 G intersects the horizontal or oblique asymptote at (0, 0) (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) OB. The graph of G intersects the horizontal or oblique asymptote at infinitely many points. OC. There is no point at which the graph of G intersects the horizontal or oblique asymptote. OD. There is no horizontal or oblique asymptote. Use the real zeros of the numerator and denominator of G to divide the x-axis into intervals. Determine where the graph of G is above or below the x-axis by choosing a number in each interval and evaluating G there. Select the correct choice below and fill in the answer box(es) to complete your choice. ⒸA. The graph of G is above 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 G is below the x-axis on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed.) OC. The graph of G is above the x-axis on the interval(s) and below the x-axis on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.5: Polynomial And Rational Functions
Problem 29E
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Follow the steps for graphing a rational function to graph the function G(x) =
2x
x²-9
Determine the points, if any, at which the graph of G 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 G intersects the horizontal or oblique asymptote at (0, 0).
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
O B. The graph of G intersects the horizontal or oblique asymptote at infinitely many points.
O C. There is no point at which the graph of G intersects the horizontal or oblique asymptote.
O D. There is no horizontal or oblique asymptote.
Use the real zeros of the numerator and denominator of G to divide the x-axis into intervals. Determine where the graph of G is above or below the x-axis by choosing a number in each interval and evaluating G there.
Select the correct choice below and fill in the answer box(es) to complete your choice.
ⒸA. The graph of G is above 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 G is below the x-axis on the interval(s)
(Type your answer in interval notation. Use a comma to separate answers as needed.)
and below the x-axis on the interval(s)
OC. The graph of G is above the x-axis on the interval(s)
(Type your answers 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 G(x) = 2x x²-9 Determine the points, if any, at which the graph of G 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 G intersects the horizontal or oblique asymptote at (0, 0). (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) O B. The graph of G intersects the horizontal or oblique asymptote at infinitely many points. O C. There is no point at which the graph of G intersects the horizontal or oblique asymptote. O D. There is no horizontal or oblique asymptote. Use the real zeros of the numerator and denominator of G to divide the x-axis into intervals. Determine where the graph of G is above or below the x-axis by choosing a number in each interval and evaluating G there. Select the correct choice below and fill in the answer box(es) to complete your choice. ⒸA. The graph of G is above 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 G is below the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) and below the x-axis on the interval(s) OC. The graph of G is above the x-axis on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.)
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