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A function has an absolute (or global) maximum at if for every in the domain of .

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A function has an absolute (or global) minimum at if for every in the domain of .

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Observe the graph :

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The domain of the function is .

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There is a vertical asymptote at .

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So, there is no absolute maximum.

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The smallest value of is , which is absolute minimum. 

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Absolute maximum : None.

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Absolute minimum : .

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