$(1$ point$)$ Find the absolute maximum and absolute minimum values of the function

$f(x)=x^{3}12x^2-27x4$

over each of the indicated intervals.

$($a$)$ Interval $=[-10,0].$

Absolute maximum$=$

Absolute minimum$=$

$($b$)$ Interval $=[-7,2].$

Absolute maximum$=q,$

Absolute minimum$=q,$

$($c$)$ Interval $=[-10,2].$

Absolute maximum$=q,$

Absolute minimum $=$