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Problem 7 Let f(x) = a) What are the horizontal asymptotes of f(x)? b) What are the vertical asymptotes of f(x)? c) Where is f(x) increasing? Decreasing? d) Where is f(x) concave up? Concave down? e) Sketch a graph of f(x). Make sure to label extrema and points of inflection. . Then f'(x) = (and f"(x) = 2x(x²+12) (x²-4)3 inlog

Problem 7 Let f(x) = a) What are the horizontal asymptotes of f(x)? b) What are the vertical asymptotes of f(x)? c) Where is f(x) increasing? Decreasing? d) Where is f(x) concave up? Concave down? e) Sketch a graph of f(x). Make sure to label extrema and points of inflection. . Then f'(x) = (and f"(x) = 2x(x²+12) (x²-4)3 inlog

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Problem 7 Let f(x) = . Then f'(x) = =(2²+4) and f"(x) = 20(22413) 2x(x²+12) mi) a) What are the horizontal asymptotes of f(x)? b) What are the vertical asymptotes of f(x)? c) Where is f(x) increasing? Decreasing? d) Where is f(x) concave up? Concave down? e) Sketch a graph of f(x). Make sure to label extrema and points of inflection.
Transcribed Image Text:Problem 7 Let f(x) = . Then f'(x) = =(2²+4) and f"(x) = 20(22413) 2x(x²+12) mi) a) What are the horizontal asymptotes of f(x)? b) What are the vertical asymptotes of f(x)? c) Where is f(x) increasing? Decreasing? d) Where is f(x) concave up? Concave down? e) Sketch a graph of f(x). Make sure to label extrema and points of inflection.
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