Answer
$\begin{array}{|c|r|r|r|r|r|r|r|}
\hline
x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\
\hline
s(x) &16 &8 &4 & 2 & 1 & 1/2 & 1/4 \\
\hline
\end{array}$
Technology formula:$\quad 2$^$(1-x) \quad$ or $\quad (1/2)$^$(x-1)$
Work Step by Step
$2^{1-x}=2^{-(x-1)}=(\displaystyle \frac{1}{2})^{x-1}$
Technology formula:$\quad 2$^$(1-x) \quad$ or $\quad (1/2)$^$(x-1)$
$ f(-3)= 2^{1-(-3)}=2^{4}=16\qquad$ tech:$\qquad 2$^$(1-(-3))$
$ f(-2)= 2^{1-(-2)}=2^{3}=8\qquad$ tech:$\qquad 2$^$(1-(-2))$
$ f(-1)= 2^{1-(-1)}=2^{2}=4\qquad$ tech:$\qquad 2$^$(1-(-1))$
$ f(0)= 2^{1-0}=2^{1}=2\qquad$ tech:$\qquad 2$^$(1-0)$
$ f(1)= 2^{1-1}=2^{0}=1\qquad$ tech:$\qquad 2$^$(1-1)$
$ f(2)= 2^{1-2}=2^{-1}=\displaystyle \frac{1}{2}\qquad$ tech:$\qquad 2$^$(1-2)$
$ f(3)= 2^{1-3}=2^{-2}=\displaystyle \frac{1}{4}\qquad$ tech:$\qquad 2$^$(1-3)$
