State the conditions on f that are needed to guarantee that there is a number...
Favorites|Homepage
Subscriptions | sitemap
HOME > > State the conditions on f that are needed to guarantee that there is a number...

State the conditions on f that are needed to guarantee that there is a number...

[From: ] [author: ] [Date: 12-10-13] [Hit: ]
I thought that it was C and D, which would then imply A and E as well, so I submitted A, C, D, E,......
State the conditions on f that are needed to guarantee that there is a number c in the interval a < x < b such that

f '(c) = (f(b) − f(a)) / (b − a)


Select all that apply.

A. f must be differentiable on a < x < b.
B. There are no conditions on f.
C. f must be continuous on a ≤ x ≤ b.
D. f must be differentiable on a ≤ x ≤ b.
E. f must be continuous on a < x < b.


I thought that it was C and D, which would then imply A and E as well, so I submitted A, C, D, E, but I got it wrong. Then I tried just A and E, but I got it wrong again. I only have one chance left though. I don't think it would be B, so I want to think the site is just stupid and wants me to only put C and D, but I wanted to make sure before submitting my last chance.

Could you please explain your answer?

Thank you!

-
I think it's B.

Look at this picture: http://gyazo.com/ddc02df79c65aec6e253a9d…

The function is not continue and not differentiable, but it fulfills f '(c) = (f(b) − f(a)) / (b − a)
1
keywords: needed,that,State,conditions,there,is,guarantee,are,to,number,the,on,State the conditions on f that are needed to guarantee that there is a number...
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .