JEE Main 2023 Mathematics question

Let [x] denote the greatest integer function and f(x) = max{1+x+[x], 2+x, x+2[x]}, . Let m be the number of points in [0, 2], where f is not continuous and n be the number of points in (0, 2), where f is not differentiable. Then is equal to

• (A)2
• (B)11
• (C)6
• (D)3Correct