Question

Which of the following relations is not a function?

A. (-4, 4), (0, 2), (8, 1), (-7, 5)

B. (-7, 4), (0, 3), (-4, 1), (8, 2)

C. (0, 4), (-4, 2), (0, 1), (-7, 2)

D.(8, 4), (-4, 2), (0, 1), (-7, 2)

Answer 1

Answer: C

Step-by-step explanation: The same x-value produces different y-values, meaning the coordinates prove that the relation is not a function. The points would also not pass the vertical line test.

Answer 2

A relation is a function if each input (x-value) has exactly one output (y-value). To determine which relation is not a function, we need to find the relation with at least one x-value that has more than one corresponding y-value.

A. (-4, 4), (0, 2), (8, 1), (-7, 5) - All x-values are unique.

B. (-7, 4), (0, 3), (-4, 1), (8, 2) - All x-values are unique.

C. (0, 4), (-4, 2), (0, 1), (-7, 2) - The x-value 0 has two corresponding y-values (4 and 1).

D. (8, 4), (-4, 2), (0, 1), (-7, 2) - All x-values are unique.

The relation in option C is not a function because the x-value 0 has two different corresponding y-values (4 and 1).