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

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 61E

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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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