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1314L13 - Lesson 13 Absolute Extrema In earlier sections...

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Lesson 13 – Absolute Extrema 1 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 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 ( - , . Example 1: State the absolute maximum and/or absolute minimum value(s). Example 2: State the absolute maximum and/or absolute minimum value(s). 1 -0.2 0.2 0.4 0.6 0.8 1.0 1.2 x y
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Lesson 13 – Absolute Extrema 2 Absolute Extrema on a Closed Interval
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