Maths-

General

Easy

Question

# Q function from the set of natural numbers to integers defined by is

- One-one but not onto
- Onto but not one-one
- One-one and onto both
- Neither one-one nor onto

## The correct answer is: One-one and onto both

### Given,

And , where N is the set of natural numbers and I is the set of integers.

Let and both are even.

Then,

Again, and both are odd.

Then,

So, mapping is one-one.

Since, each negative integer is an image of even natural number and positive integer is an image of odd natural number. So, mapping is onto.

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