If $a<b$, what qualities of $f(x)$ are needed to be certain that $f(a) < f(b)$ ? For example, is it enough to say that $f(x)$ is monotonic and positive?
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.
Here's how it works:
- Anybody can ask a question
- Anybody can answer
- The best answers are voted up and rise to the top