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: 2

Answer

$\begin{array}{|c|r|r|r|r|r|r|r|} \hline x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline f(x) &1/27 & 1/9 & 1/3 & 1 & 3 & 9 & 27 \\ \hline \end{array}$ Technology formula:$\quad $ 3^x

Work Step by Step

Technology formula:$\quad $ 3^x $f(-3)=3^{-3}=\displaystyle \frac{1}{3^{3}}=\frac{1}{27}\qquad $tech: 3^(-3) $f(-2)=3^{-2}=\displaystyle \frac{1}{3^{2}}=\frac{1}{9}\qquad $tech: 3^(-2) $f(-1)=3^{-1}=\displaystyle \frac{1}{3^{1}}=\frac{1}{3}\qquad $tech: 3^(-1) $f(0)=3^{0}=1\qquad $tech: 3^0 $f(1)=3^{1}=3\qquad $tech: 3^1 $f(2)=3^{2}=9\qquad $tech: 3^2 $f(3)=3^{3}=27\qquad $tech: 3^3
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