Construct a graph of a function $f(x)$ with the following properties:

$($a$)\underset{x-2^{+}}{lim}f(x)=8$

$($b$)\underset{x{1}^{-}}{lim}f(x)=0$

$($c$)\underset{x{1}^{+}}{lim}f(x)$ does not exist

$($d$)\underset{x3}{lim}f(x)=4$

$($e$)f(3)=2$