Suppose $f:\mathbb{R}\rightarrow\mathbb{R}$ is continuous, strictly monotonic and odd.
Is $f$ necessarily a polynomial function?
2026-02-23 10:00:12.1771840812
Continuous, strictly monotonic and odd functions
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What about $f(x)=\sinh(x)$? Or $f(x)=x+\sin(x)$?