Answered: Find local maximum and minimum values…

Find local maximum and minimum values as well as maximum and minimum values for the function. a)x2+3 x−5x2+3 x−5. b)−4 x3+12 x+5 c) |5 x+2|, −4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.6: Inequalities

Problem 79E

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Question

Find local maximum and minimum values as well as maximum and minimum values for the function.

a)x²+3 x−5x²+3 x−5.

b)−4 x³+12 x+5

c) |5 x+2|, −4<x<2

d) ∣x²−9∣,−9/2≤x≤6

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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