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Q: Is all relation a function

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No.

Function is a special case of relation. It means function is a relation but all relations are not functions. Therefore all functions are relations.

A function is always a relation. On the other hand, not all relations are functions. You can consider a function to be a special type of relation (a relation, with additional restrictions or properties).

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

Because a function has additional restrictions, which the relation may, or may not, satisfy.

The Range is the set of all possible output values of a function or relation.

Yes, but all relations are not functions.

Yes, but all relations are not functions.

No, a function must be a relation although a relation need not be a functions.

what is the difference between function and relation?

yes.

A function is a relation whose mapping is a bijection.

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