Question

Which of the following statements best explains why this graph shows a set of points that represent a relation that is not a function?

A) There are y-values which are not paired with an x-value.
B) There are y-values which are paired with multiple x-values.
C) There are x-values which are paired with multiple y-values.
D) There are x-values which are not paired with a y-value.

Answer 1

The graph represents a relation that is not a function because there are y-values which are paired with multiple x-values.

Step-by-step explanation:

The graph represents a relation that is not a function because there are y-values which are paired with multiple x-values. In a function, each input (x-value) can only have one output (y-value). However, in this graph, there are multiple points with the same y-value but different x-values. This violates the definition of a function.