-3)(x+3)" Graph the rational function f(x) = Find all horizontal and vertical asymptotes and critical points. If f (x) doesn't have a (x+1)(x-2)(x-5)' horizontal asymptote, then explore its end behavior. (What happens to f(x) as x → 0? As x → -00?) Differentiate f(x), construct a sign map for f'(x), and find the coordinates of all maxima and minima. Then differentiate f'(x), show a concavity map for f"(x), and determine all inflection points. Show all of this information clearly in your graph.
-3)(x+3)" Graph the rational function f(x) = Find all horizontal and vertical asymptotes and critical points. If f (x) doesn't have a (x+1)(x-2)(x-5)' horizontal asymptote, then explore its end behavior. (What happens to f(x) as x → 0? As x → -00?) Differentiate f(x), construct a sign map for f'(x), and find the coordinates of all maxima and minima. Then differentiate f'(x), show a concavity map for f"(x), and determine all inflection points. Show all of this information clearly in your graph.
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 93E
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