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Coolmath Algebra
Graphing Polynomials Lesson 11 - Absolute Maximums and Minimums (Extrema)  (page 1 of 2)
---- This algebra lesson explains how to find the absolute maximums and minimums (extrema) of a polynomial.

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I'll make this really quick and simple:

The absolute max is the highest point.  period!

The absolute min is the lowest point.  period!

Check it out:

a graph ... ( -3 , -2 ) is the lowest point and ( 2 , 2 ) is the highest point

f has an absolute max of 2 at x = 2.
(This is also a relative max!)

f has an absolute min of -2 at x = -3.
(This cannot be a relative min, since it doesn't
have points on BOTH sides to compare it to.)

Endpoints cannot be relative extrema!
 
Endpoints CAN be absolute extrema!

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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