Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - Strengthen Your Understanding - Page 114: 43

Answer

True.

Work Step by Step

True. The rates of change are decreasing: $$ \begin{aligned} & \frac{g(1)-g(-1)}{1-(-1)}=\frac{8-9}{2}=-\frac{1}{2} \\ & \frac{g(3)-g(1)}{3-1}=\frac{6-8}{2}=-1 \\ & \frac{g(5)-g(3)}{5-3}=\frac{3-6}{2}=-\frac{3}{2} \end{aligned} $$
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