Answer
$\begin{array}{|c|r|r|r|r|r|r|r|}
\hline
x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\
\hline
f(x) &27 & 9 & 3 & 1 & 1/3 & 1/9 & 1/27 \\
\hline
\end{array}$
Technology formula:$\quad $ (1/3)^x $\quad$ or$ \quad $3^(-x)
Work Step by Step
$3^{-x}=(3^{-1})^{x}=(1/3)^{x}$,
Technology formula:$\quad $ (1/3)^x$ \quad$ or$ \quad $3^(-x)
$f(-3)=(\displaystyle \frac{1}{3})^{-3}=3^{3}=27\qquad $tech: (1/3)^(-3)
$f(-2)=(\displaystyle \frac{1}{3})^{-2}=3^{2}=9 \qquad $tech: (1/3)^(-2)
$f(-1)=(\displaystyle \frac{1}{3})^{-1}=3^{1}=3 \qquad $tech: (1/3)^(-1)
$f(0)=(\displaystyle \frac{1}{3})^{0}=1\qquad $tech: (1/3)^0
$f(1)=(\displaystyle \frac{1}{3})^{1}=\frac{1}{3}\qquad $tech: (1/3)^1
$f(2)=(\displaystyle \frac{1}{3})^{2}=\frac{1}{9}\qquad $tech: (1/3)^2
$f(3)=(\displaystyle \frac{1}{3})^{3}=\frac{1}{27}\qquad $tech: (1/3)^3
