12 3x with f' (r) - Let f(x): 18x 24 - - (х — 3)2 18(2x 1) and (x- 3)3 -- f" (x) - (x-3)4 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 †(x), and indicate on which intervals f(xr) 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() on the axes provided. Label your graph carefully.

12 3x with f' (r) - Let f(x): 18x 24 - - (х — 3)2 18(2x 1) and (x- 3)3 -- f" (x) - (x-3)4 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 †(x), and indicate on which intervals f(xr) 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() on the axes provided. Label your graph carefully.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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