Provide an example of a function that does not have an inverse function. How do you prove that it is not a function?

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17-09-2018
Mathematics

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Provide an example of a function that does not have an inverse function. How do you prove that it is not a function?

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allonhispolo allonhispolo · Answer 1 · 2018-09-17T16:40:41+02:00

allonhispolo allonhispolo

17-09-2018

If f had an inverse, then its graph would be the reflection of the graph of f about the line y = x. The graph of f and its reflection about y = x are drawn below. Note that the reflected graph does not pass the vertical line test, so it is not the graph of a function.

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