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.

b. The relation (volume, length) is a function, but the relation (length, volume) is not.

c. Both the relation (length, volume) and the relation (volume, length) are functions.

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

Question

Aryanna Fitzgerald

Mathematics

22 June, 21:59

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.

b. The relation (volume, length) is a function, but the relation (length, volume) is not.

c. Both the relation (length, volume) and the relation (volume, length) are functions.

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

+4

Answers (2)

Know the Answer?

Charity Lopez · Answer 1

the correct answer is D. neither relations are functions.

Kassandra · Answer 2

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.