Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

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

Options:

continuous and differentiable at $x=0$ only

continuous at $x=0$ but nowhere differentiable

continuous everywhere and differentiable at all points.

continuous but not differentiable at $x=1$

Correct Answer:

continuous everywhere and differentiable at all points.

Explanation:

Explanation:

As f(x)= 1 is a constant function

Hence, It is differentiable as well as continuous at all points.