The members of the Farrell family are Mona, the mother; Scott, the father; Kellie, Katie, Kristin, and Karen, the daughter ; and Kyle the son
Consider the ordered pairs (x,y) where x is the mother of y.
A.. List the ordered pairs in this set
B.. If you are given the mother's name, can you tell the child's name?
C.. Is this set a function? Why or why not?
First step: list the ordered pairs.
(Mona,Kellie) ...
A. To list the ordered pairs in this set, we need to identify all possible combinations where x is the mother of y. According to the information given, the members of the Farrell family are:
Mona (Mother), Scott (Father), Kellie (Daughter), Katie (Daughter), Kristin (Daughter), Karen (Daughter), and Kyle (Son).
So, the ordered pairs where x is the mother of y would be:
(Mona, Scott)
(Mona, Kellie)
(Mona, Katie)
(Mona, Kristin)
(Mona, Karen)
(Mona, Kyle)
B. If we are given the mother's name, we can indeed determine the child's name. For example, if we are given x = Mona, we know that Mona is the mother, and the child's name would be y. By referring to the list of ordered pairs, we can see that Mona is the mother of Scott, Kellie, Katie, Kristin, Karen, and Kyle. So, we can determine the child's name based on the mother's name.
C. This set of ordered pairs is considered a function. A function is a relation where each input (x) has a unique output (y). In this case, every mother (x) in the set has a unique child (y). Mona, Scott, Kellie, Katie, Kristin, Karen, and Kyle are all distinct individuals, and each child corresponds to only one mother. Therefore, this set satisfies the criteria for a function.