Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.4 - Average Rate of Change - Exercises - Page 730: 2

Answer

$\displaystyle \frac{3}{2}$

Work Step by Step

See p.725 The average rate of change of $f(x)$ over the interval $[a, b]$ is $\displaystyle \frac{f(b)-f(a)}{b-a}$ -------------- Given the interval $[0,2]$ and the table, a=$0,\ \quad f(0)=-1$ b=$2,\ \quad f(2)=2$ $\displaystyle \frac{f(b)-f(a)}{b-a} =\displaystyle \frac{2-(-1)}{2-0}=\frac{3}{2}$ (no units)
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