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?
A. To list the ordered pairs in the set where x is the mother of y, we need to consider all possible combinations.
The members of the Farrell family are:
- Mona, the mother
- Scott, the father
- Kellie, Katie, Kristin, and Karen, the daughters
- Kyle, the son
The ordered pairs in the set would be:
(Mona, Kellie)
(Mona, Katie)
(Mona, Kristin)
(Mona, Karen)
(Mona, Kyle)
B. If we are given the mother's name, we can determine the child's name. For example, if we are given "Mona" as the mother's name, we know that her children are Kellie, Katie, Kristin, Karen, and Kyle.
C. This set is a function. A function is a relationship where each input has a unique output. In this case, each mother (x) has exactly one child (y). Therefore, it satisfies the definition of a function.