# How do you know whether Rolle's Theorem applies for #f(x)=x^2/3+1# on the interval [-1,1]?

##### 1 Answer

Apr 18, 2015

Ask your self whether the hypotheses of Rolle's Theorem are true for this function on this interval:

for

**H1**

Is

Yes,

**H2**

Is

Yes,

(In fact,

**H3**

Is

Yes, either by arithimetic (

or by using the fact that

Because it satisfies all of the hypotheses, we say that the Theorem applies to this function on this interval.