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Definition of Minimum and Maximum

A global maximum is the maximum value a function achieves, while the global minimum is the minimum value a function achieves. Maxima and minima can be thought of as peaks and valleys. On a bounded interval, a maximum or minimum may lie on the endpoint and may not be a peak or valley.

A function that increases without bound cannot have a global maximum. Likewise, a function that decreases without bound cannot have a minimum. Unbounded functions can have local maxima and minima.


 


 

 

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