Consider the function $f(x) = -2 x^3 + 30 x^2 - 96 x + 3$.
$f(x)$ has an inflection point at $x =C$
where $C$ is
Finally for each of the following intervals, tell whether $f(x)$ is concave up (type in CU) or concave down (type in CD).
$(-\infty, C]$:
$[C,\infty)$