determine whether the correspondence is a function . Detroit ---lions,tigers,pistons. New York---rangers, jet, yankees. Is this correpondance a function.

Since this is not my area of expertise, I searched Google under the key words "correspondence function" to get these possible sources:

http://www.google.com/search?client=safari&rls=en&q=correspondence+function&ie=UTF-8&oe=UTF-8

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.