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

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Expert Answers

justaguide | Certified Educator

f(x) = [x], is the nearest integer function.

For values of x in the closed set [-2, 2], the maximum value of f(x) is 2 and the minimum value of f(x) is -2.

The absolute extrema of the function are -2 and 2.