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

Expert Answers
justaguide eNotes educator| 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.