8. -16x Let f(x) with f' (x) and x2 – 4 (x2 – 4)2 - 16(3x? + 4) (x² – 4)3 f"(x) = | a. Find the x- and y-intercepts of f(x), if any. b. Find the vertical asymptotes of the graph of f(x), if any. Clearly indicate the limits you use to find them. c. Find the horizontal asymptotes of the graph f(x), if any. Clearly indicate the limits you use to find them. d. Determine the local(relative) extrema of f(x), and indicate on which intervals f(x) is increasing or decreasing. e. Find where f(x) is concave upward or concave downward, and identify any points of inflection. f. Sketch the graph of f(x) on the axes provided. Label your graph carefully.

8. -16x Let f(x) with f' (x) and x2 – 4 (x2 – 4)2 - 16(3x? + 4) (x² – 4)3 f"(x) = | a. Find the x- and y-intercepts of f(x), if any. b. Find the vertical asymptotes of the graph of f(x), if any. Clearly indicate the limits you use to find them. c. Find the horizontal asymptotes of the graph f(x), if any. Clearly indicate the limits you use to find them. d. Determine the local(relative) extrema of f(x), and indicate on which intervals f(x) is increasing or decreasing. e. Find where f(x) is concave upward or concave downward, and identify any points of inflection. f. Sketch the graph of f(x) on the axes provided. Label your graph carefully.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 2E

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