Finding monotone interval of y = root sign x + X + 1

Finding monotone interval of y = root sign x + X + 1

Y = 1 / √ (X & # 178; + X + 1) because X & # 178; + X + 1 = (x + 1 / 2) &# 178; + 3 / 4 > 0, the definition field is R. for X & # 178; + X + 1, it can be regarded as the parabola with opening upward and symmetry axis of x = - 1 / 2, decreasing function [- 1 / 2, + ∞) increasing function in (- ∞, - 1 / 2] increasing function [- 1 / 2, + ∞)