Question: If a function if onetoone, is it necessarily strictly increasing or strictly decreasing? Come up with TWO examples of some function with domain R ,

If a function if onetoone, is it necessarily strictly increasing or strictly decreasing? Come up with TWO examples of some function with domain R , range also R , is onetoone, but neither strictly increasing nor strictly decreasing on its domain. What noticeable (calculus) feature these functions you gave are lacking? (Experiment and draw some pictures to help you.)

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