What is a function? And what are some examples?

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What is a function? And what are some examples?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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a function is a special type of relation that can be used to make predictions
as a result; you do one thing, and can expect only one thing as a result
a function from say: M to N maps all of the elements of M onto a unique element in N

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such that: x in M = f(x) in N
|dw:1328663275052:dw|opps, not a function lol
2 is not mapped and if we pick 1, do we get a single outcome? or do w ehave to choose?
A function is a set of ordered pairs in which no two ordered pairs have the same first number.
they can have the same first number as long as they have the same second number; but sets tend to be properly written such that you discard duplicates
thanks
yw
http://www.mathsisfun.com/sets/function.html

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