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Mathematics
Problem
9. Let
f
:
N
→
N
f: \mathbf{N} \rightarrow \mathbf{N}
f
:
N
→
N
be defined by
f
(
n
)
=
n
+
1
2
f(n)=\frac{n+1}{2}
f
(
n
)
=
2
n
+
1
, if
n
n
n
is odd for all
n
∈
N
n \in \mathbf{N}
n
∈
N
.
n
2
\frac{n}{2}
2
n
, if
n
n
n
is even State whether the function
f
f
f
is bijective. Justify your answer.
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