(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.)

2. Relevant 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.

3. 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.

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# Maximum/Minimum values of a graph on a restricted interval

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