If the domain of a relation is all whole numbers between 2.5 and 7.5, and the range contains 6 different values, can you determine whether the relation is a function? Explain your reasoning. Choose the correct answer below. A. The domain has more values than the range, so at least one range value is mapped to by more than one domain value. The relation is not a function. B. The domain has fewer values than the range, so there must be a domain value which maps to more than one range value. The relation is not a function. C. The domain has as many values as the range, but it cannot be determined whether the relation is a function with only the given information. D. The domain has as many values as the range, so each domain value maps to only one range value. The relation is a function.

B. This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.

As we know that:

A relation is said to be a function if each and every element of the domain has a distinct value value in the range.

It is given that Domain of a relation is a set of all whole numbers between 2.5 and 7.5, and the range contains 6 different values.

Now, whole numbers between 2.5 and 7.5 are:

There are 4 numbers in the domain and 6 numbers in the range.

That is the elements in domain are less than the elements in the range.

Therefore, this relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.

Hence the correct option is A.

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This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.

Step-by-step explanation:

A relation is said to be a function if each and every element of the domain has a distinct value value in the range.

Domain of a relation is a set of all whole numbers between 2.5 and 7.5, and the range contains 6 different values.

Whole numbers between 2.5 and 7.5 are

This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.

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