College Algebra 7th Edition

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

Chapter 2, Functions - Section 2.4 - Average Rate of Change of a Function - 2.4 Exercises - Page 224: 14


(a) $-\frac{10}{3}$ (b) $-\frac{2}{3}$

Work Step by Step

We are given: $g(x)=2-\frac{2}{3}x$, $x=-3$, $x=2$ (a) We calculate the net change: $g(2)-g(-3)=[2-\displaystyle \frac{2}{3}*2]-[2-\frac{2}{3}*-3]=\frac{2}{3}-4=-\frac{10}{3}$ (b) We calculate the average rate of change: $\displaystyle \frac{g(2)-g(-3)}{2--3}=\frac{-\frac{10}{3}}{5}=-\frac{10}{3*5}=-\frac{2}{3}$
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