The function f(x - 1) is discontinuous at the points (A) -1, - 1/2

Question

Let a function is defined as 

where [ . ] denotes greatest integer function.

The function f(x - 1) is discontinuous at the points

(A) -1, - 1/2

(B) - 1/2 , 1

(C) 0, 1/2

(D) 0, 1 

Answer 1

Answer is (C) 0, 1/2

Discontinuous at 0, 1/2 (see Fig.)