Based on the image attached, a) Identify the critical points of the function. b) Determine the intervals on which the function increases and decreases. c) Classify the critical points as relative maximums or relative minimums

Based on the image attached, a) Identify the critical points of the function. b) Determine the intervals on which the function increases and decreases. c) Classify the critical points as relative maximums or relative minimums

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter6: Fractions

Section6.1: Simplifying Fractions

Problem 38WE

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Question

Based on the image attached,

a) Identify the critical points of the function.
b) Determine the intervals on which the function increases and decreases.
c) Classify the critical points as relative maximums or relative minimums.

Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .

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