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.com to 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.
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