Answer
Graph of $f(x)=2^{2x-2}$
Work Step by Step
Substituting values of $x$ in the given function, $
f(x)=2^{2x-2}
$, results to
\begin{array}{c|c|c}
\text{If }x=-1: & \text{If }x=0 & \text{If }x=1
\\\\
f(x)=y=2^{2x-2} & f(x)=y=2^{2x-2} & f(x)=y=2^{2x-2}
\\
y=2^{2(-1)-2} & y=2^{2(0)-2} & y=2^{2(1)-2}
\\
y=2^{-2-2} & y=2^{0-2} & y=2^{2-2}
\\
y=2^{-4} & y=2^{-2} & y=2^{0}
\\
y=\dfrac{1}{2^4} & y=\dfrac{1}{2^2} & y=1
\\
y=\dfrac{1}{16} & y=\dfrac{1}{4}
.\end{array}
Tabulating the results above results to the table below.
\begin{array}{c|c}
\hline
x & y
\\\hline
-1 & \dfrac{1}{16}
\\\hline
0 & \dfrac{1}{4}
\\\hline
1 & 1
\end{array}
Connecting the points $
\left(-1,\dfrac{1}{16}\right),
\left(0,\dfrac{1}{4}\right),
\text{ and }
\left(1,1\right)
$ with a curve gives the graph of $
f(x)=2^{2x-2}
$.
