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Mathematics 22 Online
OpenStudy (anonymous):

Define a funtion in your own words

OpenStudy (anonymous):

A function is an association of a set of inputs with a set of outputs such that for every input there is only one output.

OpenStudy (anonymous):

what?

OpenStudy (anonymous):

Okay so you can take a typical primary school example of a function using two variables, \(x\) and \(y\). Basically, for each value of \(x\), the function takes it to one value of \(y\). \(x\) is the input, and \(y\) is the output. There can only be one \(y\) value for each \(x\), otherwise it is not a function.

OpenStudy (anonymous):

A Function is simply an operation including mappings.. Example : Mapping should be from A \(\implies\) B..

OpenStudy (anonymous):

@waterineyes That is not entirely accurate. If we say A here is {1,2,3} and B is {a,b,c} then {(2,a), (1,b), (3,c)} is a function, but {(1,a), (1,b), (1,c)} is not a function, even those both map A to B.

OpenStudy (anonymous):

No, function is a particular case of relation. You must be clear when using the word map whether you mean any relation or a function specifically. Many people use the word map to mean functions only, but I don't think it's safe to assume that that meaning is clear, especially here.

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

For example, in category theory, map is more general than function, and refers to any morphism. So, we can't make assumptions with the word map. @erinbreland Do you fully understand what a function is? I'd be happy to explain further with more examples if you need.

OpenStudy (anonymous):

can i draw the graph and show u

OpenStudy (anonymous):

I know exactly what a function is just did not know how to put it into words

OpenStudy (anonymous):

Okay, cool. Another way to put it into words if you're using graphing is to talk about the vertical line test. :)

OpenStudy (anonymous):

|dw:1342027781406:dw|

OpenStudy (anonymous):

angel one plus and 5 = 100 what is the measuerment of < 3

OpenStudy (anonymous):

=)

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