The function f(x) = (|x - 1|) is | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The function f(x) = $|x - 1|$ is

A

Continuous at x = 1 and not differentiable at x = 1.

B

Continuous and differentiable at x = 1.

C

Discontinuous and differentiable at x = 1.

D

Neither continuous nor differentiable at x = 1.

Answer

Continuous at x = 1 and not differentiable at x = 1.

Explanation

Solution

The correct option is (A): Continuous at x = 1 and not differentiable at x = 1.