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Math Help - Functions; How do they work?

  1. #1
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    Functions; How do they work?

    I was just wondering why functions can only have one output per input?
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    Re: Functions; How do they work?

    Because functions are defined that way. All functions are mappings. There are mappings that are not functions.
    Last edited by MathoMan; April 30th 2012 at 01:02 PM. Reason: changed to plural
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    Re: Functions; How do they work?

    Quote Originally Posted by Nervous View Post
    I was just wondering why functions can only have one output per input?
    That is a requirement in the definition of function.
    A relation on a set can have more than one output per input.
    A function is a particular type of relation, no two pairs can have the same first term.
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    Re: Functions; How do they work?

    Quote Originally Posted by MathoMan View Post
    There are mappings that are not functions.
    Where did you get that? See this page.
    Last edited by Plato; April 30th 2012 at 01:07 PM.
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    Re: Functions; How do they work?

    Maybe a relation is a better term - English is not my native language so unfortunately things get lost in translation.
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    Re: Functions; How do they work?

    Quote Originally Posted by Plato View Post
    Where did you get that? See this page.
    My mistake. Explained in a post above.
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  7. #7
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    Re: Functions; How do they work?

    Well, that Wikipedia entry not withstanding, I feel that "mapping" is a much vaguer term than "function".
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