- #1

kathrynag

- 598

- 0

## Homework Statement

Determine whether the given function is one to one and whether it is onto. If the function is both one to one and onto, find the inverse of the function.

f:[tex]R^{2}[/tex][tex]\rightarrow[/tex][tex]R^{2}[/tex], f(x,y)=(x+y, y) .

## Homework Equations

## The Attempt at a Solution

I know one to one says f(x)=f(y) implies x=y

Onto means if for every element y in [tex]R^{2}[/tex], there exists an element x in [tex]R^{2}[/tex] with f(x)=y.

I conceptually understand the idea, but don't know how to use these definitions.

## Homework Statement

Let S={1,2,3} and T={4,5}

I need to find how many functions are there from S into T? T into S? And how many of there are one to one and onto.

## Homework Equations

## The Attempt at a Solution

My problem with this is getting a function from a set.