Let $$f(x) = \begin{cases} -{3}x, & x < 5, \\ 1, & x = 5,\\ {3}x, & x > 5. \end{cases}$$

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.

$\displaystyle{\lim_{x \rightarrow 5^{-}} f(x)}$ =
$\displaystyle{\lim_{x \rightarrow 5^{+}} f(x)}$ =
$\displaystyle{\lim_{x \rightarrow 5} f(x)}$ =
$\displaystyle{ f(5)}$ =

Is $f$ continuous at $x=5$?
(YES/NO)