Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

Let [t] denote the greatest integer less than or equal to t. Let f(x) = x $-$ [x], g(x) = 1 $-$ x + [x], and h(x) = min{f(x), g(x)}, x $\in$ [$-$2, 2]. Then h is :