Answer
(a) See graph
(b) Increasing on $(-\infty,2)$, decreasing on $(2,3)$
(c) Neither.
Work Step by Step
(a) The graph of the function $f(x)=4x\sqrt{3-x}$ is as shown.
(b) From the graph, the function is increasing in the interval $(-\infty,2)$, decreasing in the interval $(2,3)$, but no constant.
(c) Since the graph is not symmetric about the $y$-axis or the origin, the function is neither.