Pre-Calculus, 9th edition
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A function has an absolute (or global) maximum at if for every in the domain of .
A function has an absolute (or global) minimum at if for every in the domain of .
Observe the graph :
The domain of the function is .
There is a vertical asymptote at .
So, there is no absolute maximum.
The smallest value of is , which is absolute minimum.
Absolute maximum : None.
Absolute minimum : .
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