Given(x + 4)(x – 2)f(x) =x2-2(x – 8)f'(x) =x34(х — 12)f"(x)(a) Find the domain of f,(b) Find the x- and y-intercepts of f,(c) Find any vertical and horizontal asymptotes of f,(d) Find the intervals of increase and decrease of f,(e) Find any local extrema of f,(f) Find the intervals of concavity,(g) Find any points of inflection of f,(h) Use your answers from the previous parts to sketch a graph of f. Choose thescale of your axes carefully. Show all relevant information on the graph.

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Answered: Given (x + 4)(x – 2) f(x) = x2 —2(х —…

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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Given (x + 4)(x – 2) f(x) = x2 —2(х — 8) - f'(x) = x3 4(х — 12) f"(x): - x4 (a) Find the domain of f, (b) Find the x- and y-intercepts of f, (c) Find any vertical and horizontal asymptotes of f,