Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.2 - Exponential Functions and Models - Exercises - Page 642: 1

Answer

$\begin{array}{|c|r|r|r|r|r|r|r|} \hline x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \ \\ \hline f(x) & 0.015625 & 0.0625 & 0.25 & 1 & 4 & 16 & 64 \ \\ \hline \end{array}$ Technology formula:$\quad $4^x

Work Step by Step

Technology formula:$\quad $f(x) = 4^x $f(-3)=4^{-3}=\displaystyle \frac{1}{4^{3}}=\frac{1}{64}=0.015625$ $f(-2)=4^{-2}=\displaystyle \frac{1}{4^{2}}=\frac{1}{16}=0.0625$ $f(-1)=4^{-1}=\displaystyle \frac{1}{4}=\frac{1}{4}=0.25$ $f(0)=4^{0}=1$ $f(1)=4^{1}=4$ $f(2)=4^{2}=16$ $f(3)=4^{3}=64$
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