# A function f from the set of natural numbers to integers defined by 1 , when n is odd 2 ( ) , when n is even 2 n f n n ì – ïï = í ïïî

Question:

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

$f(n)=\left\{\begin{array}{l}\frac{n-1}{2}, \text { when } \mathrm{n} \text { is odd } \\ -\frac{n}{2}, \text { when } \mathrm{n} \text { is even }\end{array}\right.$ is

1. neither one -one nor onto

2. one-one but not onto

3. onto but not one-one

4. one-one and onto both.

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year 2003

Solution:

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