Let
$\begin{aligned} f(x) = \begin{cases} 4+x, & x<-4\\ 9-x, & x\ge -4 \end{cases} \end{aligned}$
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.
$\lim_{x\to -4^-} f(x) =$
$\lim_{x\to -4^+} f(x) =$
$\lim_{x\to -4} f(x) =$
$f(-4) =$
Is $f$ continuous at $-4$?
(YES/NO)
