Question

Which point(s) would cause the set of points to no longer represent a function? (Select all that apply.) (-2, 5), (0, 21), (5.1), (1, 0)

Answer 1

To determine if a set of points represents a function, we need to check if any two points have the same x-value but different y-values. In this case, the point (5.1, ?) is missing the y-value, so we cannot determine if it is part of the function.

Step-by-step explanation:

A set of points represents a function if each input (x-value) is paired with a unique output (y-value). To determine if a set of points represents a function, we need to check if any two points have the same x-value but different y-values.

In this case, the given points are (-2, 5), (0, 21), (5.1, ?), and (1, 0). The point (5.1, ?) is missing the y-value, so we cannot determine if it is part of the function.

Therefore, the point (5.1, ?) would cause the set of points to no longer represent a function.