Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 3 - Applications of Differentiation - 3.1 Exercises: 19

Answer

The function has an absolute maximum equal to $24$ and an absolute minimum equal to $-8.$

Work Step by Step

$g'(x)=4x-8.$ $g'(x)=0\to x=2$ which is in the specified interval; hence, it is, along with the endpoints of the interval, a possible candidate for absolute extrema. $g(0)=0.$ $g(2)=-8.$ $g(6)=24.$ The function has an absolute maximum equal to $24$ and an absolute minimum equal to $-8.$
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