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Difference between a function and a relation

User Jacer Omri
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A function is a special kind of relation. Relations pair up x and y coordinates, either by listing them (explicitly) or by writing an equation (implicitly). Functions have the additional property that no two values of y have the same value of x. Put another way, if you view x as the input and y as the output, functions have the property that each input yields only one output.
User Balron
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A relation is any set of ordered pairs.

For example, {(5,9), (1,2), (8,11), (10,20), (4,7)}

A function is a special type of relation where each x-coordinate has exactly 1 y-coordinate.

User Caspar Wylie
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