1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Physics
Longitudinal Strain
32. What is t...
Question
32. What is the perfect definition of injection & surjection?
Open in App
Solution
Suggest Corrections
0
Similar questions
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
,
f
x
=
x
2
is
(a) injective but not surjective
(b) surjective but not injective
(c) injective as well as surjective
(d) neither injective nor surjective
Q.
Let
A
=
{
x
:
−
1
≤
x
≤
1
}
and
f
:
A
→
A
is a function defined by
f
(
x
)
=
x
|
x
|
, then f is
Q.
Let
f
:
R
→
R
be a function defined by
f
x
=
e
|
x
|
-
e
-
x
e
x
+
e
-
x
.
Then
,
(a) f is a bijection
(b) f is an injection only
(c) f is surjection on only
(d) f is neither an injection nor a surjection
Q.
Match the following lists :
1)
f
:
R
→
R
defind by
f
(
x
)
=
a
x
+
b
is
(
a
≠
0
)
a) injection but not surjection
2)
f
:
R
→
R
defind by
f
(
x
)
=
[
x
]
is
b) surjection but not injection
3)
f
:
R
→
[
0
,
∞
)
defind by
f
(
x
)
=
|
x
|
is
c) bijection
4)
f
:
N
→
N
defind by
f
(
x
)
=
x
3
is
d) neither injection nor surjection
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Hooke's Law
PHYSICS
Watch in App
Explore more
Longitudinal Strain
Standard XII Physics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app