`h(x) = [[2 - x]], [-2,2]` Find the absolute extrema of the function on the closed interval.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The function h(x) = [2-x] is the nearest integer function.

For values of x lying in the closed set [-2,2], the maximum value of h(x) = 2 - (-2) = 2 + 2 = 4. The minimum value of x is 2 - 2 = 0

The extrema of the given function are 0 and 4.