Question

Which set of ordered pairs represents a function?

{
(
−
5
,
−
9
)
,
(
−
7
,
−
9
)
,
(
−
5
,
−
7
)
,
(
−
8
,
6
)
}
{(−5,−9),(−7,−9),(−5,−7),(−8,6)}

{
(
−
1
,
6
)
,
(
0
,
−
3
)
,
(
5
,
−
9
)
,
(
−
1
,
3
)
}
{(−1,6),(0,−3),(5,−9),(−1,3)}

{
(
1
,
2
)
,
(
−
6
,
2
)
,
(
3
,
9
)
,
(
5
,
3
)
}
{(1,2),(−6,2),(3,9),(5,3)}

{
(
−
3
,
9
)
,
(
2
,
7
)
,
(
2
,
−
4
)
,
(
1
,
5
)
}
{(−3,9),(2,7),(2,−4),(1,5)}

Answer 1

The set of ordered pairs that represents a function is:

{(−1,6),(0,−3),(5,−9),(−1,3)}

In a function, each input value (x-coordinate) must be paired with only one output value (y-coordinate). In the given set, there are no repeated x-coordinates, meaning that each input value is associated with only one output value. Therefore, it satisfies the definition of a function.