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Inverses and Functions Quick Check

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

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 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.
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1 answer

To determine whether the table of values represents a function, we need to check if each value in Set A corresponds to a unique value in Set B.

Here are the pairs from the table:

  • 1 → 6
  • 3 → 3
  • 5 → 9
  • 7 → 12

In this case, each value in Set A (1, 3, 5, 7) corresponds to exactly one value in Set B (6, 3, 9, 12). There are no repeated values in Set A that correspond to different values in Set B.

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.