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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- November 13th 2008, 06:51 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?

- November 13th 2008, 07:34 PMRapha
- November 13th 2008, 08:17 PMMathstud28
- November 13th 2008, 10:34 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?

- November 14th 2008, 12:23 AMCaptainBlack