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a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy and use the slant asymptote to graph the rational function. x2 + 16 f(x) = X. .....

a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy and use the slant asymptote to graph the rational function. x2 + 16 f(x) = X. .....

College Algebra
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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a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy and use the slant asymptote to graph the rational function. .2 X +16 f(x) = choice A. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote. Plot points between and beyond the x-intercepts and the vertical asymptote. Evaluate the function at - 6, - 5, 5, 6, and 7. El 6 X +16 f(x) = (Type integers or simplified fractions.) Use the information obtained in the previous steps to graph the function between and peyond the vertical asymptotes. Choose the correct graph below. O A. O B. D. 3C
Transcribed Image Text:a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy and use the slant asymptote to graph the rational function. .2 X +16 f(x) = choice A. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote. Plot points between and beyond the x-intercepts and the vertical asymptote. Evaluate the function at - 6, - 5, 5, 6, and 7. El 6 X +16 f(x) = (Type integers or simplified fractions.) Use the information obtained in the previous steps to graph the function between and peyond the vertical asymptotes. Choose the correct graph below. O A. O B. D. 3C
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