Which of the following sets of data represent valid functions?
S
=
{
(
−
1
,
−
4
)
,
(
2
,
1
)
,
(
4
,
5
)
,
(
−
1
,
−
4
)
,
(
14
,
15
)
}
\displaystyle {S}={\left\lbrace{\left(-{1},-{4}\right)},{\left({2},{1}\right)},{\left({4},{5}\right)},{\left(-{1},-{4}\right)},{\left({14},{15}\right)}\right\rbrace}
S
=
{
(
−
1
,
−
4
)
,
(
2
,
1
)
,
(
4
,
5
)
,
(
−
1
,
−
4
)
,
(
14
,
15
)
}
R
=
{
(
−
2
,
−
3
)
,
(
3
,
1
)
,
(
6
,
4
)
,
(
7
,
9
)
,
(
14
,
16
)
}
\displaystyle {R}={\left\lbrace{\left(-{2},-{3}\right)},{\left({3},{1}\right)},{\left({6},{4}\right)},{\left({7},{9}\right)},{\left({14},{16}\right)}\right\rbrace}
R
=
{
(
−
2
,
−
3
)
,
(
3
,
1
)
,
(
6
,
4
)
,
(
7
,
9
)
,
(
14
,
16
)
}
F
=
{
(
−
1
,
−
3
)
,
(
3
,
1
)
,
(
6
,
4
)
,
(
9
,
8
)
,
(
10
,
16
)
}
\displaystyle {F}={\left\lbrace{\left(-{1},-{3}\right)},{\left({3},{1}\right)},{\left({6},{4}\right)},{\left({9},{8}\right)},{\left({10},{16}\right)}\right\rbrace}
F
=
{
(
−
1
,
−
3
)
,
(
3
,
1
)
,
(
6
,
4
)
,
(
9
,
8
)
,
(
10
,
16
)
}
G
=
{
(
−
3
,
−
5
)
,
(
3
,
2
)
,
(
3
,
5
)
,
(
7
,
8
)
,
(
13
,
11
)
}
\displaystyle {G}={\left\lbrace{\left(-{3},-{5}\right)},{\left({3},{2}\right)},{\left({3},{5}\right)},{\left({7},{8}\right)},{\left({13},{11}\right)}\right\rbrace}
G
=
{
(
−
3
,
−
5
)
,
(
3
,
2
)
,
(
3
,
5
)
,
(
7
,
8
)
,
(
13
,
11
)
}
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