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Q: Is a relation that assigns exactly one value in the range to each value in the domain?

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The domain of the inverse of a relation is the range of the relation. Similarly, the range of the inverse of a relation is the domain of the relation.

Function.

Function

It is an injective relation.

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.

Function

It is an invertible function.

one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value

one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value

In algebra, a function, is a mapping (or a relationship) between two sets: the domain and the codomain (or range). To each element of the domain, a function assigns one element of the range.

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.

A relation where each element of the domain is paired with only one element of the range is a one to one function. A one to one function may also be an onto function if all elements of the range are paired.

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