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A relation is simply a collection of ordered pairs. That is, a relation is a pairing of an element from one set with an element from another set.

A function is a special type of relation. In a function, each element from the first set (or domain) is paired with exactly one element from the second set (or range). That is, no domain element is used more than once.

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Q: What is the mathematical meaning of a relation which is used in functions?
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