Understanding Partial and Total Functions in Set Theory

[StIgM@]

Hello Guys,

I am confused about something.
How do you differentiate the partial and total function?
I know that partial functions do not use the whole domain, but how do you know if the whole domain will be used?

For example, I want to define an operation for the AUDI car company and I want to define the function between audi car and owner. So I declare a set CAR and a set PERSON.
The function CAR ---> PERSON is partial or total and why?


Also, when I declare a set do I mean that the set can contain all the items that might exist in the world?

Thanks

 

[Landau]

I have no idea what your function is supposed to do. It takes some kind of car, and assigns to it a person that owns that particular car?