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: 27

Answer

The answers are given in the same order as they appear in the exercise. 1. The function $f$... 2. The function $g$... 3. ...between $x=0$ and $x=1.5$.

Work Step by Step

1. Since both functions started at the same point, but function $f$ reached a higher $y$ value at $x=1$ than $g$, function $f$ has a greater average rate than $g$. 2. Since function $g$ started at a lower $y$ value than function $f$ at $x=1$ and function $g$ reached a higher $y$ value than $f$ at $x=2$, function $g$ has a greater average rate than $f$. 3. Since both functions started at the origin and reached the same $y$ value at $x=1.5$, they have the same average rate of change between $x=0$ and $x=1.5$
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