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KEAM 2019 Math Paper
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© examsnet.com
Question : 42
Total: 121
Range of the function
f
(
x
)
=
7
−
x
P
x
−
3
, is
{
1
,
2
,
3
,
4
,
5
}
{
1
,
2
,
3
}
{
1
,
2
}
{
1
,
2
,
3
,
4
}
{
1
}
Validate
Solution:
As
f
(
x
)
=
7
−
x
P
x
−
3
is defined only for positive integer values of
x
satisfying
7
−
x
>
0
,
x
−
3
≥
0
and
x
−
3
≤
7
−
x
or
x
=
3
,
4
,
5
Range
(
f
)
=
{
f
(
3
)
,
f
(
4
)
,
f
(
5
)
}
=
{
4
P
0
,
3
P
1
,
2
P
2
}
=
{
1
,
2
,
3
}
© examsnet.com
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