Question

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)

Answer 1

The graph of the function is shown below:

From it we notice that the function is not differentiable at x=0 since the function is not smooth at that point.

Therefore, we can't apply Rolle's theorem because f is not differentiable in the open interval (a,b)