Question

Which of the following are examples of a function? Justify your answers.

Answer 1

Answer:

The assignment of teachers to students enrolled in each of their classes is NOT an example of a function.

Step-by-step explanation:

To determinate if the given example is a function, you have to use the definition of function and compare it to the example.

A function is defined as a relation that assigns each element of one set to exactly one element of the second set. The first set is called the domain and the second set is called the range.

In this case, the domain is represented by the teachers and the range is the students enrolled in each teacher's classes.

Therefore, the example is not a function because each teacher is not assigned to exactly one student. In other words, in general, one teacher has more than just one student.