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AIEEE 2004 Math Solved Paper
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© examsnet.com
Question : 61
Total: 68
The range of the function
f
(
x
)
=
7
−
x
C
x
−
3
is
{
1
,
2
,
3
,
4
,
5
}
{
1
,
2
,
3
,
4
,
5
,
6
}
{
1
,
2
,
3
,
4
}
{
1
,
2
,
3
}
Validate
Solution:
7
−
x
P
x
−
3
is defined if
7
−
x
≥
0
,
x
−
3
≥
0
and
7
−
x
≥
x
−
3
⇒
3
≤
x
≤
5
and
x
∈
I
∴
x
=
3
,
4
,
5
∴
f
(
3
)
=
7
−
3
P
3
−
3
=
4
P
0
=
1
∴
f
(
4
)
=
7
−
4
P
4
−
3
=
3
P
1
=
3
∴
f
(
5
)
=
7
−
5
P
5
−
3
=
2
P
2
=
2
Hence range
=
{
1
,
2
,
3
}
© examsnet.com
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