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Byju's Answer
Standard XII
Mathematics
Theorems for Differentiability
State True or...
Question
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.
A
True
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B
False
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Solution
The correct option is
B
False
f
(
n
)
=
2
x
+
3
f
(
1
)
=
5
,
f
(
2
)
=
7
INTO function
Not Surjective.
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0
Similar questions
Q.
Is the function
f
:
N
→
N
. (N is the set of natural numbers) defined by f(n)=2n+3 surjective ?
Q.
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
Q.
The function
f
:
N
→
N
(
N
is the set of natural numbers) defined by
f
(
n
)
=
2
n
+
3
is
Q.
f
:
N
→
N
, then show that
f
(
n
)
=
2
n
+
3
∀
n
ϵ
N
.
Q.
State true or false:
Let
A
=
{
0
,
1
}
and
N
the set of all natural numbers. Then the mapping
f
:
N
→
A
defined by
f
(
2
n
−
1
)
=
0
,
f
(
2
n
)
=
1
for all
n
∈
N
, is many-one onto.
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