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Let [x] denote the greatest integer function and f (x) = max{1+ x + [x], 2 + x, x + 2[x]}, 0 ≤ x ≤ 2. 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 (m + n) 2 + 2 is equal to

1. 2
2. 11
3. 6
4. 3

Correct answer: 3

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