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Mathematics 11 Online
OpenStudy (mertsj):

Sketch the graph of a function on [-1,2]that has a local maximum but no absolute maximum.

OpenStudy (mathmate):

|dw:1327716430911:dw| However, note that on a finite interval, a function always have an absolute maximum and an absolute minimum, being either at the limits of the interval, or at an interior point.

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