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 & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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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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