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Byju's Answer
Standard XII
Mathematics
Definition of Function
f: -π2,π2 → -...
Question
f
:
(
−
π
2
,
π
2
)
→
(
−
∞
,
∞
)
defined by
f
(
x
)
=
tan
x
is
A
one-one but not onto
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B
onto but not one-one
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C
neither one - one nor onto
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D
bijective
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Solution
The correct option is
D
bijective
It is bijective because it is both one - one & onto.
Suggest Corrections
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Similar questions
Q.
Let
f
:
[
0
,
√
3
]
→
[
0
,
π
3
+
l
o
g
e
2
]
defined by
f
(
x
)
=
l
o
g
e
√
x
2
+
1
+
t
a
n
−
1
x
then f(x)is
Q.
Let
f
:
[
0
,
√
3
]
→
[
0
,
π
3
+
l
o
g
e
2
]
defined by
f
(
x
)
=
l
o
g
e
√
x
2
+
1
+
t
a
n
−
1
x
then f(x)is
Q.
Let
f
:
R
→
R
be a function defined by
f
x
=
x
2
-
8
x
2
+
2
. Then, f is
(a) one-one but not onto
(b) one-one and onto
(c) onto but not one-one
(d) neither one-one nor onto
Q.
The function
f
:
-
1
/
2
,
1
/
2
,
1
/
2
→
-
π
/
2
,
π
/
2
, defined by
f
x
=
sin
-
1
3
x
-
4
x
3
, is
(a) bijection
(b) injection but not a surjection
(c) surjection but not an injection
(d) neither an injection nor a surjection
Q.
The function
f
:
R
→
R
defined by
f
(
x
)
=
x
3
+
2
is
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