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Answer:


f is a function because each student, or each element of the domain of the function corresponds to one element of the range.

Explanation:

Here are some of the important factors for a relationship to be a function.

As we know that a function is a relation between sets that associates to every element of a first set exactly one element of the second set.

In the giving diagram of the question, it is clearly observable that:

  • Each student in Mr. Well's history class associates to one Final exam score.

Therefore,
f is a function.

We know that the domain of a function is the set of all the x-values of an ordered pair of a set for which the function is defined.

Here,

The domain of
f is : {Student}

And range of a function is the set of all the y-values of a ordered pair of a set.

So,

The range of
f is : {Final Exam Score}

Hence, we conclude that
f is a function because each student, or each element of the domain of the function corresponds to one element of the range.

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