Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Chapter Review - Review Exercises - Page 186: 28

Answer

maximum $f(4) =12$

Work Step by Step

Given $f(x)=-x^2+8x-4$, we have $a=-1\lt0, b=8$, thus there is a maximum at $x=-\frac{b}{2a}=-\frac{8}{2(-1)}=4$ with a value $f(4)=-(4)^2+8(4)-4=12$
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