Answer
$\begin{array}{|c|r|r|r|r|r|r|r|}
\hline
x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\
\hline
g(x) &2/27 & 2/9 & 2/3 & 2 & 6 & 18 & 54 \\
\hline
\end{array}$
Technology formula:$\quad $2*(3^x)$ \quad$ or$ \quad $2*3^x
Work Step by Step
Technology formula:$\quad $2*(3^x)$ \quad$ or$ \quad $2*3^x.
PEMDAS (acronym for order of operations) has exponents before multiplication, so the parentheses are not necessary, although they are not an error.
$f(-3)=2(3^{-3})=\displaystyle \frac{2}{3^{3}}=\frac{2}{27}\qquad $tech: 2*3^(-3)
$f(-2)=2(3^{-2})=\displaystyle \frac{2}{3^{2}}=\frac{2}{9}\qquad $tech: 2*3^(-2)
$f(-1)=2(3^{-1})=\displaystyle \frac{2}{3^{1}}=\frac{2}{3}\qquad $tech: 2*3^(-1)
$f(0)=2(3^{0})=2(1)=2\qquad $tech: 2*3^0
$f(1)=2(3^{1})=2(3)=6\qquad $tech: 2*3^1
$f(2)=2(3^{2})=2(9)=18\qquad $tech: 2*3^2
$f(3)=2(3^{3})=2(27)=54\qquad $tech: 2*3^3