Observe the graph:
\The set of ordered pairs are and
.
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:
\No;
\Because each element of the domain is not paired with one element of the range. \ \
\ in domain is paired to
as well as
in the range. \ \
One-to-one function:
\No;
\Each element of the domain is not paired with exactly one element of the range.
\ in domain is paired to
as well as
in the range.
Onto:
\Yes;
\Because each element of the range corresponds to an element of the domain.
\Therefore, the relation is not a function.
\No; the relation is not a function.