# Onto and one-to-one

Not what you're looking for? Search our solutions OR ask your own Custom question.

Which functions are one-to-one? Which functions are onto? Describe the inverse function

A)F:Z^2-N where f is f(x,y) x^2 +2y^2

B)F:N->N where f is f(x) = x/2 (x even) x+1 (x odd)

C)F:N->N where f is f(x) = x+1 (x even) x-1 (x odd)

D)h:N^3 -> N where h(x,y,z) = x + y -z

https://brainmass.com/math/graphs-and-functions/22690

#### Solution Preview

<br>A) f is not one-to-one since f(-1,1)=f(1,1)=3. f is not onto since f(x,y)=x^2+2y^2=2 has no integer solutions. There is no inverse function.

<br>B) f is onto since for each n in N, we have f(2n)=2n/2=n. f is not one-to-one since f(4)=4/2=2 and ...

#### Solution Summary

This shows how to identify inverse, one-to-one, and onto functions.

$2.49