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Functions are relations where the codomain is dependent on the domain, but relations don't necessarily have this dependence. By the way, there is no formal proof distinguishing these two terms, they can pretty much be used interchangeably.

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14y ago

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What is the difference between function and a relation?

Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.


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Not every relation is a function. But every function is a relation. Function is just a part of relation.


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