If , then which of the following is correct ? (A) is both continuous and…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

f(x) = |x| + |x - 1|

, then which of the following is correct ? (A)

f(x)

is both continuous and differentiable, at

x = 0

and

x = 1

. (B)

f(x)

is differentiable but not continuous, at

x = 0

and

x = 1

. (C)

f(x)

is continuous but not differentiable, at

x = 0

and

x = 1

. (D)

f(x)

is neither continuous nor differentiable, at

x = 0

and

x = 1