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Byju's Answer
Standard VI
Mathematics
Equivalent Sets
Let f : R →...
Question
Let
f
:
R
→
Q
be a continuous function such that F(2)=3, then
A
f (x) is always an even function
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B
f (x) is always an odd function
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C
nothing can be said about f(x) being even or odd
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D
f(x) is an increasing function
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Solution
The correct option is
C
nothing can be said about f(x) being even or odd
nothing can be said about
f
(
x
)
being even or odd
Suggest Corrections
1
Similar questions
Q.
The function
f
(
x
)
=
|
x
|
3
is:
Q.
Prove that the derivative of an odd function is always an even function.
Q.
f
(
x
)
=
|
x
|
3
is
Q.
Let
f
(
x
)
be an even function such that
f
(
x
)
+
f
(
x
−
3
)
=
x
(
x
−
3
)
+
1.
Then
3
∫
0
f
(
x
)
d
x
(
x
2
−
3
x
+
1
)
is
Q.
Let
f
(
x
)
be an even function & even degree polynomial such that
f
(
1
2
)
=
1
2
,
f
(
1
)
=
1
,
f
(
2
)
=
−
3
,
f
(
3
)
=
5
then minimum number of points of intersection for
f
(
x
)
is
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