Consider the function h(x) = ((x^2) - x) / ((x + 1)^2), which has first derivative h'(x) = (3x - 1) / ((x + 1)^3) and second derivative h''(x) = (6 - 6x) / ((x + 1)^4). Find the vertical asymptotes, locate and classify all relative minima and maxima and point(s) of inflection. Give answers to 3 decimal places.

Consider the function h(x) = ((x^2) - x) / ((x + 1)^2), which has first derivative h'(x) = (3x - 1) / ((x + 1)^3) and second derivative h''(x) = (6 - 6x) / ((x + 1)^4). Find the vertical asymptotes, locate and classify all relative minima and maxima and point(s) of inflection. Give answers to 3 decimal places.

Name: Consider the function h(x) = ((x^2) - x) / ((x + 1)^2), which has firs
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Description: Consider the function h(x) = ((x^2) - x) / ((x + 1)^2), which has first derivative h'(x) = (3x - 1) / ((x + 1)^3) and second derivative h''(x) = (6 - 6x) / ((x + 1)^4). Find the vertical asymptotes, locate and classify all relative minima and maxima

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 96E: What is the purpose of the Intermediate Value Theorem?

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