Mean value Theorem :

If  is continuous on  and differentiable on open interval , then there exists a number  in  such that .

Condition of a function :

1.The function  is continuous on the interval .

2. Function does not satisfy the mean value theorem.

So consider a function which is continuous on the interval  and not differentiable on open interval .

Let the function is .

Graph :

Graph the function :

Graph of the function is

.