Use Rolle's Theorem to show that the equation $\displaystyle x^3+x-1=0$ has exactly one root in the interval [-1,1].

So, I noticed that it is continuous on the closed interval and differentiable on the open interval; however, f(-1) \neq f(1). Doesn't that mean Rolle's Theorem is not applicable?

How would I answer this question? Do I just state that it does not apply and leave it?