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To determine the absolute max and min of the function f(x) on the interval we need to determine the critical points of the function and evaluate the function f(x) at those points, as well as the endpoints of the interval. The absolute max(min) of f(x) on the interval is given by the greatest(least) value of the function at those points.
To determine the critical points, we evaluate solve for .

and thus when
If is 0, then we know that or . At these points, and thus . Hence we may suppose that .
We know that is negative in the second and fourth quadrants. We also know that a right triangle with side lengths has angles , and . Thus, we have that and (see the diagram below).
Thus, we plug in all these values to see that
and thus, the maximum occurs at and its value is and the minimum occurs at and its value is
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