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Examples
Step-by-Step Examples
Relations
Determine if the Relation is a Function
(
1
,
1
)
(
1
,
1
)
,
(
2
,
2
)
(
2
,
2
)
,
(
3
,
3
)
(
3
,
3
)
,
(
4
,
3
)
(
4
,
3
)
,
(
1
,
2
)
(
1
,
2
)
Step 1
Since
x
=
1
x
=
1
produces
y
=
1
y
=
1
and
y
=
2
y
=
2
, the relation
(
1
,
1
)
,
(
2
,
2
)
,
(
3
,
3
)
,
(
4
,
3
)
,
(
1
,
2
)
(
1
,
1
)
,
(
2
,
2
)
,
(
3
,
3
)
,
(
4
,
3
)
,
(
1
,
2
)
is not a
function
.
The relation is not a
function
.
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[
x
2
1
2
√
π
∫
x
d
x
]
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
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