x° - 64 Follow the steps for graphing a rational function to graph the function H(x) = x2 - 36 O C. The function has no oblique asymptote. Determine the points, if any, at which the graph of H 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. The graph of H intersects the horizontal or oblique asymptote at (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) O B. The graph of H intersects the horizontal or oblique asymptote at infinitely many points. O C. There is no point at which the graph of H 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 H to divile the x-axis into intervals Determine where the graph of H is above or below the x-axis by choosing a number in each interval and evaluating H there. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The graph of H is above the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The araph of H 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) O C. The graph of H is above the x-axis on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) Use the results from the previous steps to graph H. Choose the correct graph below.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 40E
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Question
Follow the steps for graphing a rational function to graph the function H(x) =
x -64
x2 – 36
O C. The function has no oblique asymptote.
Determine the points, if any, at which the graph of H 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. The graph of H intersects the horizontal or oblique asymptote at
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
O B. The graph of H intersects the horizontal or oblique asymptote at infinitely many points.
O C. There is no point at which the graph of H 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 H to divile the x-axis into intervals. Determine where the graph of H is above or below the x-axis by
choosing a number in each interval and evaluating H there. Select the correct choice below and fill in the answer box(es) to complete your choice.
O A. The graph of H is above the x-axis on the interval(s)
(Type your answer in interval notation. Use a comma to separate answers as needed.)
nts
O B. The graph of H is below the x-axis on the interval(s)
(Type your answer in interval notation. Use a comma to separate answers as needed.)
ts
O C. The graph of H 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.)
n 2
Use the results from the previous steps to graph H. Choose the correct graph below.
O A.
OB.
OC.
OD.
Transcribed Image Text:Follow the steps for graphing a rational function to graph the function H(x) = x -64 x2 – 36 O C. The function has no oblique asymptote. Determine the points, if any, at which the graph of H 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. The graph of H intersects the horizontal or oblique asymptote at (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) O B. The graph of H intersects the horizontal or oblique asymptote at infinitely many points. O C. There is no point at which the graph of H 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 H to divile the x-axis into intervals. Determine where the graph of H is above or below the x-axis by choosing a number in each interval and evaluating H there. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The graph of H is above the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) nts O B. The graph of H is below the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) ts O C. The graph of H 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.) n 2 Use the results from the previous steps to graph H. Choose the correct graph below. O A. OB. OC. OD.
x - 64
Follow the steps for graphing a rational function to graph the function H(x) =
x2 - 36
lo
(Simpiiiy youi answer. iype an oruereu pair. Use a comma to separate answers as neeued.)
O B. The graph of H intersects the horizontal or oblique asymptote at infinitely many points.
O C. There is no point at which the graph of H 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 H to divide the x-axis into intervals. Determine where the graph of H is above or below the x-axis by
choosing a number in each interval and evaluating H there. Select the correct choice below and fill in the answer box(es) to complete your choice.
O A. The graph of H is above the x-axis on the interval(s)
(Type your answer in interval notation. Use a comma to separate answers as needed.)
O B. The qraph of H 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 H is above the x-axis on the interval(s)
(Type your answers in interval notation. Use a comma to separate answers as needed.)
and below the x-axis on the interval(s)
Use the results from the previous steps to graph H. Choose the correct graph below.
ents
O A.
OB.
OD.
ents
am 2
Transcribed Image Text:x - 64 Follow the steps for graphing a rational function to graph the function H(x) = x2 - 36 lo (Simpiiiy youi answer. iype an oruereu pair. Use a comma to separate answers as neeued.) O B. The graph of H intersects the horizontal or oblique asymptote at infinitely many points. O C. There is no point at which the graph of H 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 H to divide the x-axis into intervals. Determine where the graph of H is above or below the x-axis by choosing a number in each interval and evaluating H there. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The graph of H is above the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The qraph of H 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 H is above the x-axis on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) and below the x-axis on the interval(s) Use the results from the previous steps to graph H. Choose the correct graph below. ents O A. OB. OD. ents am 2
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