Observe the mapping figure:
The set of ordered pairs are.
Domain:
The domain of the relation is the set of all first (-coordinates) coordinates.
The domain of the relation is .
Range:
The range of the relation is the set of second (-coordinates) coordinates..
The range of the relation is .
Function:
Yes;
Because each element of the domain is paired with one element of the range.
One -to-one function:
Yes;
Each element of the domain is paired with exactly one element of the range.
Onto:
Yes;
Because each element of the range corresponds to an element of the domain.
Therefore the relation is a function.
Yes; the relation is a function.
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