Let f(x) = |x| + |x – 1|, then | MATH - CONTINUITY | SolveeIt | Solveeit

Today, August 19

Question

Let f(x) = |x| + |x – 1|, then

A

f(x) is continuous at x = 0, as well as at x = 1

B

f(x) is continuous at x = 0, but not at x = 1

C

f(x) is continuous at x = 1, but not at x = 0

D

None of these

Answer

f(x) is continuous at x = 0, as well as at x = 1

Explanation

Solution

f(x) = |x| + |x–1|

continuous and differentiable everywhere