Answer
(a) See graph
(b) Increasing on $(-\infty,-5)$, decreasing on $(-5,\infty)$
(c) Neither.
Work Step by Step
(a) The graph of the function $f(x)=|x+5|$ is as shown.
(b) From the graph, the function is increasing in the interval $(-\infty,-5)$, decreasing in the interval $(-5,\infty)$, but no constant.
(c) Since the graph is not symmetric about the $y$-axis or the origin, the function is neither.