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.
.
As an algebra exercise you've also been asked to actually find the values of
To do that, find
Select any solutions in
.