the function g is continuous and differentiable on the interval [2,5]. If g(2)=3 and g(5)=-6, which of the following must be true? I. There exists a c, where 2<c<5, such that g'(c)=0 II. There exists c, where 2<c<5, such that g(c)=0 III. There exists c, where 2<c<5, such that g'(c)=g(5)-g(2)/5-2

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OpenStudy (darkigloo):

the function g is continuous and differentiable on the interval [2,5]. If g(2)=3 and g(5)=-6, which of the following must be true? I. There exists a c, where 2 12 years ago

OpenStudy (darkigloo):

I think #3 is true...

12 years ago

OpenStudy (anonymous):

i and iii are both true

12 years ago

OpenStudy (darkigloo):

why is i true?

12 years ago

OpenStudy (anonymous):

oh wait, my bad ii and iii are both true XD

12 years ago

OpenStudy (darkigloo):

ohh :) ok. so why is ii true?

12 years ago

OpenStudy (anonymous):

because of the Intermediate Value theorem

12 years ago

OpenStudy (darkigloo):

hmm.. okay. thank you.

12 years ago

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