Q. At $x = 0$, the function $f(x) = |x|$ is
A) Continuous but not differentiable
B) Discontinuous and differentiable
C) Discontinuous and not differentiable
D) Continuous and differentiable
Explanation
(a)
[image:5_image9.emf]
It is clear from the graph that $f(x)$ is continuous everywhere and also differentiable everywhere except at $x = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.