s the relation below a function?

Question

Select the correct answer.

(1 point)
Responses

This is a function because each domain has one range.
This is a function because each domain has one range.

This is a function because each range has one domain.
This is a function because each range has one domain.

This is not a function because the domain of -2 has more than one range.
This is not a function because the domain of -2 has more than one range.

This is not a function because the range of 1 has more than one domain.

Answer 1

To determine whether a relation is a function, we need to make sure that each element of the domain (input) is related to only one element of the range (output).

• If a domain value has more than one corresponding range value, then it is not a function.
• Conversely, if each domain value corresponds to only one range value, then it is a function regardless of how many domain values map to the same range value.

Based on the responses you provided, the correct answer to indicate that the relation is not a function (assuming that the domain value of -2 indeed relates to more than one range value) would be:

"This is not a function because the domain of -2 has more than one range."

Make sure to check the specific relation in question to confirm this condition is true.