Answered: Locate absolute extrema Question Given…

Locate absolute extrema Question Given g(x) = = -2x- + x – 1, find the absolute maximum value over the interval [-2, 4]. Provide your answer below: MORE INSTRUCTION SUBMIT Content attribution

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Expert Solution

Given,

Absolute maximum or minimum of a function in a clsoed interval exist at a point where its first derivative is zero or at the end points of the given interval.

So we find the derivative of the given function:

Now solving the derivative by setting it to zero. That is,

Now finding the values of function at the end points and at x = 1/4

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