I have two general questions that I'm NOT sure if it's absolutely accurate statement or NOT.(adsbygoogle = window.adsbygoogle || []).push({});

1) Odd function is always strictly monotone, either strictly increasing or strictly decreasing right? If there any counterexample to disprove my assumption?

2) One-to-one function is always strictly monotone right? Is there any counterexample to disprove my assumption?

Note: This is NOT homework questions. These are my general assumptions.

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# Monotonicity of odd function and 1-1 function

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