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

$f(x)=x^3-12x^2-27x+10$

over each of the indicated intervals.

$($a$)$ Interval $=[-2,0].$

Absolute maximum $=10$

Absolute minimum $=10$

$($b$)$ Interval $=[1,10].$

Absolute maximum$=$

Absolute minimum $=$

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

Absolute maximum$=$

Absolute minimum $=$