A function f from the set of natural numbers to integers defined by \[f(n)=\left\{ \begin{align} & \frac{n-1}{2},\ \text{when}\ n\ \text{is}\ \text{odd} \\ & -\frac{n}{2},\ \text{when }n\text{ is even} \\ \end{align} \right.\], is [AIEEE 2003]

A function f from the set of natural numbers to integers defined by \[

1.	A function f from the set of natural numbers to integers defined by \[f(n)=\left\{ \begin{align} & \frac{n-1}{2},\ \text{when}\ n\ \text{is}\ \text{odd} \\ & -\frac{n}{2},\ \text{when }n\text{ is even} \\ \end{align} \right.\], is [AIEEE 2003]
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 from the set of natural numbers to integers defined by \[f(n)=\left\{ \begin{align} & \frac{n-1}{2},\ \text{when}\ n\ \text{is}\ \text{odd} \\ & -\frac{n}{2},\ \text{when }n\text{ is even} \\ \end{align} \right.\], is [AIEEE 2003]

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