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Byju's Answer
Standard XIII
Mathematics
Range
The number of...
Question
The number of integral elements in the range of the function
f
(
x
)
=
[
{
2
x
+
3
}
]
is
(where
[
.
]
represents the greatest integer function and
{
x
}
is the fractional part of
x
)
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Solution
Domain of
f
is
R
.
0
≤
{
2
x
+
3
}
<
1
∴
[
{
2
x
+
3
}
]
=
0
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0
Similar questions
Q.
The range of the function
f
(
x
)
=
[
{
2
x
+
3
}
]
is
(
[
.
]
represents the greatest integer function and
{
x
}
is the fractional part of
x
)
Q.
The range of the function
f
(
x
)
=
[
{
2
x
+
3
}
]
is
(
[
.
]
represents the greatest integer function and
{
x
}
is the fractional part of
x
)
Q.
Let
f
:
A
→
R
+
be a function defined by
f
(
x
)
=
log
{
x
}
(
x
−
[
x
]
|
x
|
)
, where
[
.
]
and
{
.
}
represent greatest integer function and fractional part function respectively. If
B
is the range of
f
, then the number of integer(s) in
R
+
−
B
is
Q.
Let
f
:
A
→
R
be a function defined by
f
(
x
)
=
log
{
x
}
(
x
−
[
x
]
|
x
|
)
, where
[
.
]
and
{
.
}
represent greatest integer function and fractional part function respectively. If
B
is the range of
f
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is
Q.
The number of integer(s) in the range of
√
[
sgn
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)
]
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)
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]
,
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}
and
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)
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Range
Standard XIII Mathematics
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