Does the following table represent a function? Why or why not?

Question

-2 2
1 0
5 7
6 7
8 9
Group of answer choices

No, because one
-value corresponds to two different y-values.

Yes, because all of the
x
-values correspond to one or more y-values.

Yes, because every
x
-value corresponds to exactly one
y
-value.

No, because two of the
y
-values are the same.

Answer 1

The correct answer is:

Yes, because every x-value corresponds to exactly one y-value.

In the table provided, each unique x-value (input) has exactly one corresponding y-value (output). For example, -2 corresponds to 2, 1 corresponds to 0, 5 corresponds to 7, 6 also corresponds to 7, and 8 corresponds to 9. Even though the y-value 7 is repeated for both x-values 5 and 6, this does not affect the definition of a function, which states that each x-value must relate to only one y-value. Since all x-values are unique and follow this rule, the table does represent a function.