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


the length of a swimming pool

the liquid volume of the pool a. he relation (length, volume) is a function, but the relation (volume, length) is not.

BThe relation (volume, length) is a function, but the relation (length, volume) is not.
CBoth the relation (length, volume) and the relation (volume, length) are functions.
DNeither the relation (length, volume) nor the relation (volume, length) is a function.

Verified Answer :

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.

Answer:

Neither the relation (length, volume) nor the relation (volume, length) is a function.

Step-by-step explanation: