Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 1 - Ingredients of Change: Functions and Limits - 1.1 Activities: 15

Answer

$r(4)\approx10.498$ $r(-.5)=r(-\frac{1}{2})$ $r(-\frac{1}{2})\approx.745$

Work Step by Step

$r(w)=1.8^{w}$ $r(4)=1.8^{4}$ $r(4)\approx10.498$ $r(-.5)=r(-\frac{1}{2})=1.8^{-\frac{1}{2}}$ $r(-\frac{1}{2})=\frac{1}{\sqrt 1.8}$ (This is because $a^{-b}=\frac{1}{a^{b}}$ and $a^{\frac{1}{2}}=\sqrt a$) $r(-\frac{1}{2})\approx.745$ (You could rationalize the fraction but it isn't necessary).
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