Problem

Which of the following are functions from A to B? If your answer is "not a function,...

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.

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