Question 627181: 3. Which of the following are functions from A to B? If your answer is “not a function,” explain why not.
A. A is the set of mathematics faculty at the university. B is the set of all mathematics classes. To each mathematics faculty member, we associate the class that person is teaching during a given term.
B. A is the set of mathematics classes at the university. B is the set of mathematics faculty. To each mathematics class, we associate the teacher who is teaching the class.
C. A is the set of all U.S. senators and B is the set of all senate committees. We associate each senator to the committee of which the senator is chairperson.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
The question to ask yourself in each case is: If I pick an element from set A, do I get one and only one element of B? If so, you have a function. On the other hand, if you pick an A and the associated B is "maybe this, maybe that" then you do NOT have a function.
A. Each Faculty could possibly teach more than one class, so picking a faculty member leaves you with "maybe this class, maybe that class, or maybe this other class..." Not a function.
B. Each Class has exactly one teacher. So if you pick a class, you get one teacher, no more, no less. This is a function.
C. Don't know. Is it possible for a given Senator to be the chairman of more than one committee? If so, not a function. If not, then it is a function. You can research the Senate rules.
John
My calculator said it, I believe it, that settles it
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