Question

Explain in more detail about one to one and onto function?

Answer 1

For one to one function each element in the domain is mapped on to an one and only one element in the co-domain.

The could be some elements in the co-domain that are not being used.

For a function to be one to one, then for


`f(x) = f(y)`
if and only if


`x = y`

For an onto function all the elements in the co-domain must be used up.

In order words, the
`<B>co-domain=Range</B>`

The condition is

`f(x) \rightarrow \: y`
Meaning each
`<B>OBJECT</B>should have an <B>IMAGE</B>`