Answer
See the full explanation below.
Work Step by Step
We plot the graphs of functions with the help of the points individually for $f\left( x \right)$ and $g\left( x \right)$.
The coordinates of $f\left( x \right)$ for $x=-2$ to $x=2$ are as follows:
$\begin{align}
& x=-2 \\
& f\left( x \right)=-2x \\
& =-2\left( -2 \right) \\
& =4
\end{align}$
$\begin{align}
& x=-1 \\
& f\left( x \right)=-2x \\
& =-2\left( -1 \right) \\
& =2
\end{align}$
$\begin{align}
& x=0 \\
& f\left( x \right)=-2x \\
& =-2\left( 0 \right) \\
& =0
\end{align}$
$\begin{align}
& x=1 \\
& f\left( x \right)=-2x \\
& =-2\left( 1 \right) \\
& =-2
\end{align}$
$\begin{align}
& x=2 \\
& f\left( x \right)=-2x \\
& =-2\left( 2 \right) \\
& =-4
\end{align}$
The coordinates of $g\left( x \right)=-2x+3$ for $x=-2$ to $x=2$ are as follows:
$\begin{align}
& x=-2 \\
& g\left( x \right)=-2x+3 \\
& =-2\left( -2 \right)+3 \\
& =7
\end{align}$
$\begin{align}
& x=-1 \\
& g\left( x \right)=-2x+3 \\
& =-2\left( -1 \right)+3 \\
& =5
\end{align}$
$\begin{align}
& x=0 \\
& g\left( x \right)=-2x+3 \\
& =-2\left( 0 \right)+3 \\
& =3
\end{align}$
$\begin{align}
& x=1 \\
& g\left( x \right)=-2x+3 \\
& =-2\left( 1 \right)+3 \\
& =1
\end{align}$
$\begin{align}
& x=2 \\
& g\left( x \right)=-2x+3 \\
& =-2\left( 2 \right)+3 \\
& =-1
\end{align}$