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A function is a mapping from a set, called the domain, to a set (which may be the same) called a co-domain or range such that for each element in the domain, there is at most one element in the co-domain. Another way of stating the last bit is that the mapping can be one-to-one or many-to-one but not one-to-many.

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Q: What does a function need to have for it to be a function algebra?
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