Let $$f(x) = \begin{cases} 2 + x, & x < -4, \\ 5 - x, & x \geq -4. \end{cases}$$
Find the indicated one-sided limits of $f$, and determine the continuity of $f$ at the indicated point. You should also sketch a graph of $y=f(x)$, including hollow and solid circles in the appropriate places.
NOTE: Type DNE if a limit does not exist.

$\displaystyle{\lim_{x \rightarrow -4^{-}} f(x)}$ =
$\displaystyle{\lim_{x \rightarrow -4^{+}} f(x)}$ =
$\displaystyle{\lim_{x \rightarrow -4} f(x)}$ =
$\displaystyle{ f(-4)}$ =

Is $f$ continuous at $-4$?
(YES/NO)