Use the table to answer the question.

Set A Set B
1 6
3 3
5 9
7 12
Which of the following statements best describes the table of values shown?

(1 point)
Responses

The given relation is a function because some elements of Set A correspond to more than one element in Set B.
The given relation is a function because some elements of Set A correspond to more than one element in Set B.

Even though some values in Set A correspond to more than one value in Set B, it is still a function.
Even though some values in Set A correspond to more than one value in Set B, it is still a function.

The given relation is a function because each value from Set A corresponds to a unique value in Set B.
The given relation is a function because each value from Set A corresponds to a unique value in Set B.

The table of values given is a relation but not a function.
The table of values given is a relation but not a function.
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1 answer

To determine whether the relation described by the table is a function, we need to check if every element in Set A corresponds to exactly one element in Set B.

In the provided data:

  • 1 corresponds to 6
  • 3 corresponds to 3
  • 5 corresponds to 9
  • 7 corresponds to 12

Since each value in Set A (1, 3, 5, 7) corresponds to exactly one unique value in Set B (6, 3, 9, 12), this means that the relation given is indeed a function.

Therefore, the correct statement is:

The given relation is a function because each value from Set A corresponds to a unique value in Set B.

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