Posted by **Chuck** on Saturday, October 20, 2012 at 4:02am.

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). (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.

- Discreet Mathematics -
**Anonymous**, Thursday, February 27, 2014 at 1:37am
For the first problem the ordered pairs are (Jets, Namath) (Giants, Manning) (Cowboys, Aikman) (49ers, Montana) (Chiefs, Montana) (Patriots, Brady). The directional map is scanned and attached. This is a function. No one element of the domain matches more than one element in the range.

For the second problem, reverse the ordered pairs and find that it is no longer a function, since one element of the domain (Joe Montana) matches with two elements of the range (49ers and Chiefs).

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