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Byju's Answer
Standard XII
Mathematics
Empty Set
Which of the ...
Question
Which of the following functions is/are constant ?
A
f
(
x
)
=
x
2
+
2
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B
f
(
x
)
=
x
+
1
x
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C
f
(
x
)
=
7
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D
f
(
x
)
=
6
+
x
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Solution
The correct option is
C
f
(
x
)
=
7
f
(
x
)
=
7
is constant function as its values do not depend on the variable
x
.
Its value is
7
for any value of
x
.
Option
C
is correct.
Suggest Corrections
0
Similar questions
Q.
Which of the following functions are even and which are odd?
1)
f
(
x
)
=
x
2
+
7
2)
f
(
x
)
=
x
+
2
3)
f
(
x
)
=
x
7
+
2
x
5
4)
f
(
x
)
=
|
x
|
+
4
Q.
Which of the following functions even and which are odd?
(i)
f
(
x
)
=
x
2
+
7
(ii)
f
(
x
)
=
x
+
2
(ii)
f
(
x
)
=
x
7
+
2
x
5
(iv)
f
(
x
)
=
|
x
|
+
4
Q.
Find the ranges of the following functions:
f
(
x
)
=
1
−
x
−
x
2
f
(
x
)
=
3
x
+
7
x
−
8
f
(
x
)
=
x
2
+
2
x
+
8
f
(
x
)
=
4
x
−
7
x
−
3
Q.
Which of the following functions are not identical?
1.
f
(
x
)
=
x
/
x
,
g
(
x
)
=
1
2.
f
(
x
)
=
1
,
g
(
x
)
=
sin
2
x
+
cos
2
x
3.
f
(
x
)
=
x
,
g
(
x
)
=
(
√
x
)
2
4.
f
(
x
)
=
log
(
x
−
2
)
+
log
(
x
−
3
)
,
g
(
x
)
=
log
(
x
−
2
)
(
x
−
3
)
Q.
Which of the following functions form Z to itself are bijections?
(a)
f
x
=
x
3
(b)
f
x
=
x
+
2
(c)
f
x
=
2
x
+
1
(d)
f
x
=
x
2
+
x
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