A function f form the set of natural numbers to integers defined by \[f(n)=\left\{ \begin{matrix} \frac{n-1}{2},\,\,\,\text{when}\,\,n\,\,\text{odd} \\ -\frac{n}{2}\,,\,\,\,\text{when}\,\,n\,\,\text{is}\,\,\text{odd} \\ \end{matrix}\,\,\,\text{is} \right.\]

A function f form the set of natural numbers to integers defined by

1.	A function f form the set of natural numbers to integers defined by \[f(n)=\left\{ \begin{matrix} \frac{n-1}{2},\,\,\,\text{when}\,\,n\,\,\text{odd} \\ -\frac{n}{2}\,,\,\,\,\text{when}\,\,n\,\,\text{is}\,\,\text{odd} \\ \end{matrix}\,\,\,\text{is} \right.\]
A.	one-one but not onto.
B.	onto but not one-one
C.	one-one and onto both.
D.	neither one-one nor onto.
Answer» D. neither one-one nor onto.

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A function f form the set of natural numbers to integers defined by \[f(n)=\left\{ \begin{matrix} \frac{n-1}{2},\,\,\,\text{when}\,\,n\,\,\text{odd} \\ -\frac{n}{2}\,,\,\,\,\text{when}\,\,n\,\,\text{is}\,\,\text{odd} \\ \end{matrix}\,\,\,\text{is} \right.\]

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