Question

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

Answer 1

The correct answer is:
D) neither the relation (length, volume) nor the relation (volume, length) is a function.

Explanation:
 A function is a relation in which each element of the domain is mapped to no more than 1 element of the range.
For (length, volume), the domain would be length and the range would be volume.
There could possibly be a length value that is mapped to more than one volume value, depending on the height of the pool. This means that (length, volume) is not always a function.
For (volume, length), volume is the domain and length is the range.
There could possibly be a volume that is mapped to more than one length, depending on the height of the pool. This means that (volume, length) is not always a function either.