Question

Which set of points does NOT represent a function?

A) (-1, 4), (2, 4), (-1,-4), (-2, 4)
B) (-5,5), (-8,0), (-2,5), (-4, 0)
C) (3, 7), (-7, -3), (-3,7), (7, -3)
D) (6, -1), (-9,-1), (-6, 1), (9,1)

Answer 1

Set C, which includes the points (3, 7), (-7, -3), (-3, 7), (7, -3), does NOT represent a function.

Step-by-step explanation:

A set of points represents a function if each x-value is paired with one and only one y-value. Based on the given sets of points, we can determine that set C does NOT represent a function.

Set C: (3, 7), (-7, -3), (-3, 7), (7, -3)

In set C, both the x-value -3 and the x-value 7 are paired with multiple y-values. For -3, it is paired with both 7 and -3, and for 7, it is paired with both -3 and 7. This violates the definition of a function.