Rolles Theorem

jon12

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Nov 14, 2010
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Can Rolles Theorem be applied to this function (x^2-2x-3)/(x+2) on the interval [-1,3] If it can be applied find the mins and maxs guaranteed by the theorem. For some reason I want to say that Rolles Theorem cannot be applied here because it isn't continous. Am I correct? If not can someone show me?
 
jon12 said:
Can Rolles Theorem be applied to this function (x^2-2x-3)/(x+2) on the interval [-1,3] If it can be applied find the mins and maxs guaranteed by the theorem. For some reason I want to say that Rolles Theorem cannot be applied here because it isn't continous. Am I correct? If not can someone show me?

At what point the function is "not continuous"?
 
I am not sure but looking at the graph I thought that it looked like there was an asymptote at one point. Can you provide me with some help please.
 
jon12 said:
I am not sure but looking at the graph I thought that it looked like there was an asymptote at one point. Can you provide me with some help please.

Looking at the function - you should be able to tell that there is a vertical assymptote at x = ???

What is/are the rule/s for vertical assymptotes?
 
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