College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Chapter 2 Test: 4

Answer

(a) minimum: (-1,-4), maxima: (-4,-1) and (3,4) (b) increasing: $(-\infty,\ -4)$ and $(-1,3)$ decreasing: $(-4,\ -1)$ and $(3,\ \infty)$

Work Step by Step

(a) We see from the graph that the function $f$ has a local minimum at (-1,-4) and two local maxima at (-4,-1) and (3,4). (b) We see from the graph that the function $f$ is increasing on the intervals $(-\infty,\ -4)$ and $(-1,3)$ and decreasing on the intervals $(-4,\ -1)$ and $(3,\ \infty)$.
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