JEE Math Practice 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 :

1. A.continuous in [$$-$$2, 2] but not differentiable at more than four points in ($$-$$2, 2)
2. B.not continuous at exactly three points in [$$-$$2, 2]
3. C.continuous in [$$-$$2, 2] but not differentiable at exactly three points in ($$-$$2, 2)
4. D.not continuous at exactly four points in [$$-$$2, 2]