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(Consider the example of the states of the United States and their U.S. senators

ID: 3102197 • Letter: #

Question

(Consider the example of the states of the United States and their U.S. senators. You can say that the senators are not a function of the states because each state has more than one senator. However, you can say that the states are a function of the senators because each senator is associated with only one state.)

the above is an example.

?Make up your own examples of two real-world sets. (ex. husband to a house hold, cat to life expectancy)
Are my examples good?

? how can the elements of those sets be paired.
? Explain whether one of the sets can be considered a function of the other.

Explanation / Answer

Your answers are ok but vague. I would use something like these: 1. "A mother to her biological children" is not a function since it is an example of "one-to-many" relationship which is not a function. But "a child to her biological mother" is an example of function since a child can have only one biological mother. 2. Your example of "Head of a household" is a good one. It is an example of a one-to-one relationship. Hope this helps. J.Rami