Given f(x) and g(x), where f'(x) > g'(x) at all points, how many times can the two funtions intersect?

(i) Exactly Once

(ii) More than Once

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- November 20th 2011, 02:17 AMsk9190Question from Calculus Mid
Given f(x) and g(x), where f'(x) > g'(x) at all points, how many times can the two funtions intersect?

(i) Exactly Once

(ii) More than Once - November 20th 2011, 02:31 AMmr fantasticRe: Question from Calculus Mid
- November 20th 2011, 02:32 AMsk9190Re: Question from Calculus Mid
I'm not sure I follow. Can you elaborate?

- November 20th 2011, 02:36 AMmr fantasticRe: Question from Calculus Mid
- November 20th 2011, 02:40 AMsk9190Re: Question from Calculus Mid
I'm thinking the answer is Exactly once and all the possible functions for f and g that I can think of support this, but I don't understand the basic principle as to why

- November 20th 2011, 02:42 AMmr fantasticRe: Question from Calculus Mid
- November 20th 2011, 02:44 AMsk9190Re: Question from Calculus Mid
Alright, I'm giving it 10 minutes, but if I can't figure it out then can you just spell it out for me? =P

- November 20th 2011, 08:03 PMmr fantasticRe: Question from Calculus Mid