Use the table to answer the question.

Question

Table of Set A and Set B Values
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 table of values given is a relation but not a function.
The table of values given is a relation but not 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.

Answer 1

To determine whether the table represents a function, we need to understand the definition of a function: in a function, every input (element from Set A) must correspond to exactly one output (element from Set B).

From the provided table:

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

Each element in Set A (1, 3, 5, 7) corresponds to a unique element in Set B (6, 3, 9, 12). There are no inputs that map to more than one output.

Therefore, the best statement that describes the table of values is:

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