Is there a function such that, f is continuous on (1,5), reaches a maximum on (1,5), but does not reach a minimum on (1,5). Does such a function exist or is it impossible?

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- Nov 13th 2008, 05:51 PMthahachainaAnalysis Function
Is there a function such that, f is continuous on (1,5), reaches a maximum on (1,5), but does not reach a minimum on (1,5). Does such a function exist or is it impossible?

- Nov 13th 2008, 06:34 PMRapha
- Nov 13th 2008, 07:17 PMMathstud28
- Nov 13th 2008, 09:34 PMthahachaina
Thanks man. I kinda thought about it, but it looks to me like that function is not possible since it does not reach a maximum at (1,5). Is that right?

- Nov 13th 2008, 11:23 PMCaptainBlack