Using D as the domain and Q as the range, show the relation between the 2 sets, with the correspondences based on which players are (or were) a member of which team(s).

Part I: Suppose you are developing a statistical database in which information about professional football teams and records are stored.

Consider the following 2 sets of data that list football teams and quarterbacks:

D = {Jets, Giants, Cowboys, 49’ers, Patriots, Rams, Chiefs}

Q = {Tom Brady, Joe Namath, Troy Aikman, Joe Montana, Eli Manning}

1. Using D as the domain and Q as the range, show the relation between the 2 sets, with the correspondences based on which players are (or were) a member of which team(s). (You can use http://www.pro-football-reference.comto find out this information). Show the relation in the following forms:
   • Set of ordered pairs
   • Directional graph
2. Is the relation a function? Explain.
3. Now, use set Q as the domain, and set D as the range. Show the relation in the following forms:
   • Set of ordered pairs
   • Directional graph
4. Is the relation a function? Explain.