The function f (x) = |x| + |x – 1| is :

continuous at x = 0 as well as at x = 1. continuous at x = 1 but not at x = 0. discontinuous at x = 0 as well as at x = 1. continuous at x = 0 but not at x = 1.

continuous at x = 0 as well as at x = 1.

\(\lim_{x→0}\) f(x) = 1 = f(0) \(\lim_{x→1}\) f(x) = 1 = f(1)