Question

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

house
complete mailing address

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

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

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

Neither the relation (house, complete mailing address) nor the relation (complete mailing address, house) is a function.

Answer 1

Do you know what a function means?

Answer 2

an expression that contains variables?

Answer 3

No. It's more precise than that.
It means a relation where each input leads to exactly one output.
Do you know about the vertical line test?

Answer 4

No...

Answer 5

It means if you graph a relation, you can trace a vertical line along it, and if the vertical line never intersects the graph twice, it's a function.

Answer 6

Okay

Answer 7

So, the question is asking, does each complete mailing address only correspond to one house? Does each house only have one complete mailing address?

Answer 8

Yes right?

Answer 9

I don't know. With something like PO Boxes it might not but that might also be overthinking. It's not a very good question.

Answer 10

Oh wow, okay. I'll put both and let you know if I get it right. Thanks for the help...

Answer 11

I tried. :D