by Wybie
Last Updated May 23, 2020 01:20 AM

Is this true: If $f:(a,b)\to\Bbb{R}$ is strictly increasing, then $f$ does not attain its maximum nor minimum in $(a,b)$?

I need to verify if this statement is true or false.

Making the graph it looks true to every graph I draw, but I am not sure how to prove this or find a counterexample...

Thanks.

Suppose $f$ attains its maximum, in $u$, $u<b$, there exists $u<v<b$, $f(u)<f(v)$ contradiction

- ServerfaultXchanger
- SuperuserXchanger
- UbuntuXchanger
- WebappsXchanger
- WebmastersXchanger
- ProgrammersXchanger
- DbaXchanger
- DrupalXchanger
- WordpressXchanger
- MagentoXchanger
- JoomlaXchanger
- AndroidXchanger
- AppleXchanger
- GameXchanger
- GamingXchanger
- BlenderXchanger
- UxXchanger
- CookingXchanger
- PhotoXchanger
- StatsXchanger
- MathXchanger
- DiyXchanger
- GisXchanger
- TexXchanger
- MetaXchanger
- ElectronicsXchanger
- StackoverflowXchanger
- BitcoinXchanger
- EthereumXcanger