Given the following equation:f(x) = -1/8 x^2 + 2x(a) Find the value of x that maximizes/minimizes this function (x*)(b) Find f(x*)(c) Is this solution at the maximum or minimum? How do you know?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Given the following equation:
f(x) = -1/8 x^2 + 2x
(a) Find the value of x that maximizes/minimizes this function (x*)
(b) Find f(x*)
(c) Is this solution at the maximum or minimum? How do you know?

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