Question

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

Options:
A) Both (house, complete mailing address) and (complete mailing address, house) are functions.
B) Neither the relation (house, complete mailing address) nor the relation (complete mailing address, house) is a function.
C) The relation (house, complete mailing address) is a function, but the relation (complete mailing address, house) is not.
D) The relation (complete mailing address, house) is a function, but the relation (house, complete mailing address) is not.

Answer 1

The relation (complete mailing address, house) is a function, but the relation (house, complete mailing address) is not. Option D.

Step-by-step explanation:

The correct statement describing the sets is D) The relation (complete mailing address, house) is a function, but the relation (house, complete mailing address) is not.

A function is a relation where each input has exactly one output. In the relation (complete mailing address, house), each complete mailing address corresponds to one house, so it is a function.

However, in the relation (house, complete mailing address), there can be multiple houses that correspond to the same complete mailing address, so it is not a function.

So Option D.