Given that a function is an even function defined on R, given that x ≥ 0, f (x) = x ^ 2-2x, find the monotone interval and range of the function

Given that a function is an even function defined on R, given that x ≥ 0, f (x) = x ^ 2-2x, find the monotone interval and range of the function

The derivative function, 2 * X-2, is derived from 2 * X-2 > 0 to x > 1, so the monotone increasing interval is (1, positive infinity), and the monotone decreasing interval is (0,1). Because it is an even function, when x = 1 and - 1, the value is the smallest, and the range is f (x) > = - 1