x° - 125 Follow the steps for graphing a rational function to graph the function H(x) = x² - 64

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.CT: Chapter Test
Problem 28CT
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Question
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 2.
(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 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 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 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.)
O C. 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.)
Use the results from the previous steps to graph H. Choose the correct graph below.
OA.
В.
Oc.
OD.
Transcribed Image Text: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 2. (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 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 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 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.) O C. 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.) Use the results from the previous steps to graph H. Choose the correct graph below. OA. В. Oc. OD.
x° - 125
Follow the steps for graphing a rational function to graph the function H(x) =
x2 - 64
Transcribed Image Text:x° - 125 Follow the steps for graphing a rational function to graph the function H(x) = x2 - 64
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