November 20, 2002
(1) Find the absolute extrema of
on the interval .
First, we find the critical numbers
There is only one critical number x = 2 in the interval.
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As you can see, ther e is a relative maximum at x = 2, so this is also an absolute maximum (because there is only one critical number in the interval).
is the ABSOLUTE MAXIMUM, and it occurs at x = 2.
There is NO ABSOLUTE MINIMUM.