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2 November, 07:45

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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  1. 2 November, 08:09
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    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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