Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Section 2.4 - Average Rate of Change of a Function - 2.4 Exercises - Page 188: 28

Answer

The average rate of change of function $f$ will always remain constant. The average rate of change of function $g$ will increase as it moves on to the next successive interval. The average rate of change of function $h$ will decrease as it moves on to the next successive interval.

Work Step by Step

Since the slope of function $f$ will always be the same, so will the average rate of change. Since the slope of function $g$ is increasing as the $x$ value gets higher, so will the average rate of change. Since the slope of function $h$ is decreasing as the $x$ value gets higher, so will the average rate of change.
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