Global Extrema or Absolute Extrema are similar to Local Extrema, but they are *
not exactly the same
*. An Absolute Extrema is wanting to know the

**
Definition:
**Global Extrema or Absolute Extrema

A Global Max(Absolute Max) is the *
largest
***
y-value
**in an

A Global Min (Absolute Min) is the *
smallest
***
y-value
** in an

The main difference between *
Absolute Extrema
*and Local Extrema, is that *
Absolute Extrema
**
do not
* have to occur at peaks and valleys, and *
Absolute Extrema
*are generally asked about in terms of a closed *
x-interval
*, [*
a
**
,
**
b
*].

In this example you would have a local max at the peak and a local min at the valley, but that is not the location of the *
largest
***
y-value
**, absolute max,and the

Keep in mind that *
Absolute Extrema
*can also occur in multiple places, *
x-values
*. You are only being asked what is the *
absolute
* largest or *
absolute
* smallest **
y-value
**of your given equation. There is no reason that those

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