Lesson 13-filled - Math 1314 Lesson 13 Absolute Extrema In...

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Math 1314 Lesson 13 Absolute Extrema In earlier sections, you learned how to find relative (local) extrema. These points were the high points and low points relative to the other points around them. In this section, you will learn how to find absolute extrema , that is the highest high and/or the lowest low on the domain of the function, or on a specific closed interval. Absolute Extrema on the Domain of f Definition: If ) ( ) ( c f x f for all x in the domain of f , then f (c) is called the absolute maximum value of f . If ) ( ) ( c f x f for all x in the domain of f , then f (c) is called the absolute minimum value of f . Sometimes you will be asked to find the absolute extrema over the interval ( 29 - , . Example 1 : State the absolute maximum and/or absolute minimum value(s). Example 2 : State the absolute maximum and/or absolute minimum value(s).
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As you can see from these two examples, the absolute extrema may or may not exist. To find absolute extrema on ( 29 -
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This note was uploaded on 02/21/2012 for the course MATH 1314 taught by Professor Marks during the Fall '08 term at University of Houston.

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Lesson 13-filled - Math 1314 Lesson 13 Absolute Extrema In...

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