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## Homework Statement

f(x) = x^3 + 12x^2 - 27x + 11

Absolute Maximum

Absolute Minimum

on the interval [-10,0]

(there are 3 different interval sets, but if I can do this one, I think I can figure out the rest.)

## Homework Equations

Derivative, set equal to 0, then solve for the problem, but what I'm confused about is how the solving process differs as the interval changes.

## The Attempt at a Solution

I have the derivative set as

3x^2 + 24x - 27

but what I'm unsure about is how finding the absolute maximum on the interval [-10,0] differs in process from finding the interval on, say, [-7, 2]

I think what I'm really trying to ask is how the restrictions on the intervals are reflected in the mathematical process to solve for an absolute maximum and minimum.