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[– 2, 2] Then h is :

• (A)continuous in [– 2, 2] but not differentiable at more than four points in (– 2, 2)Correct
• (B)not continuous at exactly three points in [– 2, 2]
• (C)continuous in [– 2, 2] but not differentiable at exactly three points in (– 2, 2)
• (D)not continuous at exactly four points in [– 2, 2]