# How do you determine whether rolles theorem can be applied to #f(X)=(x^2-2x-3)/(x+2)# on the closed interval [-1,3] and if it can find all value of c such that f '(c)=0?

##### 1 Answer

Rolle's Theorem has three hypotheses:

**H1** :

**H2** :

**H3** :

In this question,

We can apply Rolle's Theorem if all 3 hypotheses are true.

**H1** : Is this function is continuous on

**H2** : Is the derivative of this function defined on

If so, then

**H3** : Is

If the answer to all 3 questions is "yes", then we can apply Rolle's Theorem to this function on this interval.

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As an algebra exercise you've also been asked to actually **find** the values of

To do that, find

Select any solutions in

.