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A function is a relation whose mapping is a bijection.
A one-to-many mapping (eg square root) Or a relation such as a member of the family. Or a relation such as narrating a story.
A function is a relation whose mapping is a bijection.
That's a proper function, a conformal mapping, etc.
A relation is a mapping between two sets, a domain and a range. A function is a relationship which allocates, to each element of the domain, exactly one element of the range although several elements of the domain may be mapped to the same element in the range.