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I'm trying to understand the rationale behind definition of function. Why is function defined as a relation which relates input to only 1 output?

What would happen if we allow function to relate input to multiple output? Something like y^2 + x^2 = 4

Anurag Peshne
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    http://math.stackexchange.com/questions/271613/why-is-a-function-defined-as-having-only-one-y-value-output

    This link and the links in it should answer your query.

     – Panglossian Oporopolist Feb 24 '15 at 13:13

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