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) ...
Okay then what do I do next
A. To list the ordered pairs in this set, we need to identify the mothers and their children.
The members of the Farrell family are:
Mona - mother
Scott - father
Kellie - daughter
Katie - daughter
Kristin - daughter
Karen - daughter
Kyle - son
The ordered pairs (x, y) where x is the mother of y would be:
(Mona, Kellie)
(Mona, Katie)
(Mona, Kristin)
(Mona, Karen)
(Mona, Kyle)
B. If we are given the mother's name, we can tell the child's name by looking at the second element of each ordered pair. For example, if we are given "Mona" as the mother's name, we can see from the list of ordered pairs that her children's names are Kellie, Katie, Kristin, Karen, and Kyle.
C. This set is not a function. In a function, each input (mother) has only one output (child), but in this set, Mona appears multiple times as the mother with different children. For example, Mona is the mother of both Kellie and Katie, so there is more than one output for the input "Mona." Therefore, this set violates the definition of a function and is not considered a function.