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Byju's Answer
Standard VIII
Mathematics
Identifying Functions using Table
x y ...
Question
x
y
1
,
2
a
2
b
3
c
This given table signifies
A
Relation but not a Function
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B
Function but not a Relation
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C
Neither Relation nor Function
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D
Both Relation and Function
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Solution
The correct option is
A
Relation but not a Function
In the table
x
y
1
,
2
a
2
b
3
c
This given table signifies that
For
x
=
1
,
y
= a
for
x
=
2
,
y
= a
For
x
=
2
,
y
= b
and for
x
=
3
,
y
= c
We can see that for
x
=
1
and
2
,
y
=
a
which is acceptable.
For a relation to be a function, each value in
x
must correspond to a exactly one value in
y
.
Here at
x
=
2
⇒
y
=
a
,
b
∴
the given relation is not a function.
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