Answer
See below:
Work Step by Step
Find the value of\[f\left( x \right)\]for different value of\[x\], and make a table as:
When \[x=-2\]
\[\begin{align}
& f\left( x \right)={{5}^{-2}} \\
& =\frac{1}{25} \\
& =0.04
\end{align}\]
When \[x=-1\]
\[\begin{align}
& f\left( x \right)={{5}^{-1}} \\
& =\frac{1}{5} \\
& =0.20
\end{align}\]
When \[x=0\]
\[\begin{align}
& f\left( x \right)={{5}^{0}} \\
& =1
\end{align}\]
When \[x=1\]
\[\begin{align}
& f\left( x \right)={{5}^{1}} \\
& =5
\end{align}\]
When \[x=2\]
\[\begin{align}
& f\left( x \right)={{5}^{2}} \\
& =25
\end{align}\]
