Given the following graph $f(x).$

Compute each of the following.

$($a$)f(-2)$

$($g$)\underset{x{0}^{+}}{lim}f(x)$

$($b$)\underset{x-2^{-}}{lim}f(x)$

$($h$)\underset{x0}{lim}f(x)$

$($c$)\underset{x-2^{+}}{lim}f(x)$

$($i$)f(3)$

$($d$)\underset{x-2}{lim}f(x)$

$($j$)\underset{x{3}^{-}}{lim}f(x)$

$($e$)f(0)$

$($k$)\underset{x{3}^{+}}{lim}f(x)$

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

$(1)\underset{x3}{lim}f(x)$

$($m$)$ Is the function continuous at $x=-2,0,3?$ Why or why not?