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Byju's Answer
Standard XII
Mathematics
Definition of Function
Is the functi...
Question
Is the function f:N
→
N(N is set of the natural numbers) defined by f(n)=2n+3 for all n
ϵ
N surjective?
If yes enter 1 else enter 0
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Solution
Ans. No range will consist of only odd members. Thus even numbers will have no pre-image.
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Similar questions
Q.
Is the function
f
:
N
→
N
. (N is the set of natural numbers) defined by f(n)=2n+3 surjective ?
Q.
The function
f
:
N
→
N
(
N
is the set of natural numbers) defined by
f
(
n
)
=
2
n
+
3
is
Q.
A mapping
f
:
N
→
N
where N is the set of natural numbers is defined as
f
(
n
)
=
{
n
2
,
f
o
r
n
o
d
d
2
n
+
1
,
f
o
r
n
e
v
e
n
\
.For
n
□
N
.Then f is
Q.
State True or False.
Function
f
:
N
→
N
(N is set of the natural numbers)defined by
f
(
n
)
=
2
n
+
3
for all
n
ϵ
N
is surjective.
Q.
The function
f
:
N
→
N
(where
N
is the set of natural numbers) defined by
f
(
x
)
=
2
n
+
3
is
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Definition of Function
Standard XII Mathematics
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