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: 3

Answer

$0.3$

Work Step by Step

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 $[-3,1]$ and the table, a=$-3,\ \quad f(-3)=-2.1$ b=$-1,\ \quad f(-1)=-1.5$ $\displaystyle \frac{f(b)-f(a)}{b-a} =\displaystyle \frac{-2.1-(-1.5)}{-3-(-1)}$ $=\dfrac{-2.1+1.5}{-3+1}=\dfrac{-0.6}{-2}=0.3$ (no units)
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