Question

The function f(x) = 1 + | sin x | is

(a) continuous no where

(b) continuous everywhere

(c) differentiable at x = 0

(d) not differentiable at infinite number of points.

Answer 1

Correct option 

(b) continuous everywhere

(d) not differentiable at infinite number of points.

Explanation :

We know, f(x) = 1 + | sin x | could be plotted as, 

Clearly, y = 1 + | sin x | is continuous for all x, but not differentiable at infinite number of points.