The function $f(x)$ is a polynomial and hence it is defined for all real numbers. Its second derivative is given by: $f''(x) = -5(x+3)(x-1)^2(x-2)$. Find the interval(s) over which the function $f(x)$ is concave up.
$( -3, 1)$ and $(2, \infty)$
$( -\infty, -3)$ and $(1, \infty)$
$( -\infty, -3)$ and $(1, 2)$
$(-3, 2)$
$( -\infty, -3)$ and $(2, \infty)$
None of the above.