Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Review - Test - Page 236: 19

Answer

The net change is $5$ Average rate of change is $\frac{5}{4}$

Work Step by Step

The net change is a comparison of the corresponding domain of the two points of $x$. As we can see on the graph, $f(2)=2$ and $f(6)=7$. From $2$ it changed to $7$, so the net change is $7-2=5$ We can calculate the average rate of change using the formula: $\frac{f(b)-f(a)}{b-a}$ $\frac{f(6)-f(2)}{6-2}= \frac{7-2}{6-2}\frac{5}{4}$ Average rate of change - $\frac{5}{4}$
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