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Show that the function f :N->Z, defined ...

Show that the function `f :N->Z`, defined by `f(n) =1/2(n-1)` when n is odd; -1/2 n when n is even is both one-one and onto

Text Solution

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f(n)=(n-1)/2 where n is odd
f(n)=-n/2 where n is even
f(1)=0
f(2)=-1
f(3)=1
f(4)=-2
f(5)=2
f(6)=-3
...
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