Consider the function $f(x) = x^{2/3}(x-5)$.

The x-intercepts are at: $x=$
NOTE: Note, if there are more than one, separate your answers with a comma.
The y-intercept is at $y=$

If $A$, $B$, and $C$ are critical points, then $f(x)$ can be broken up into the following unique intervals:
($-\infty,A$), ($A,B$), ($B,C$), ($C,\infty$).

$A =$
$B =$
$C =$

For each of the intervals listed below, select the graph best representing the shape of the function in that interval.

($-\infty,A$): ? 1 2 3 4
      ($A,B$): ? 1 2 3 4
      ($B,C$): ? 1 2 3 4
      ($C,\infty$): ? 1 2 3 4