Consider the two groups listed below. Which statement describes the sets?

house

complete mailing address

AThe relation (house, complete mailing address) is a function, but the relation (complete mailing address, house) is not.

BThe relation (complete mailing address, house) is a function, but the relation (house, complete mailing address) is not.

CBoth (house, complete mailing address) and (complete mailing address, house) are functions.

DNeither the relation (house, complete mailing address) nor the relation (complete mailing address, house) is a function.

The question ask to choose among the following choices that states the statement that best described the sets and in my own observation, I would say that the answer would be letter C. Both (house, complete mailing address) and (complete mailing address, house) are functions.Hope this would help

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MsEHolt MsEHolt · Answer 2 · 2018-09-02T22:20:11-04:00

The correct answer is:

C. Both (house, complete mailing address) and (complete mailing address, house) are functions.

Explanation:

A function is a relation in which each element of the domain (x-values) is mapped to one element of the range (y-values).

In the set (house, complete mailing address), the values of "house" would be the domain and the values of "complete mailing address" would be the range. In order to be a function, each value of "house" would be mapped to only one value of "complete mailing address." This is true; each house will have only one complete mailing address. This means it is a function.

In the set (complete mailing address, house), the values of "complete mailing address" would be the domain and the values of "house" would be the range. In order to be a function, each value of "complete mailing address" would be mapped to only one value of "house." This is true; each complete mailing address would go with only one house. This means it is a function.