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### Non-Functional Relationship

Not every pair of sets designating a domain and a range represent a functional relationship. One test you can use to determine whether the graphical depiction of a set of coordinates represents a function involves using a vertical line. Accordingly, if you apply the vertical line test to a graph, the graph cannot pass over the line more than once.

Figure 4.11 illustrates, once again, the path of a fly. The fly’s path does not constitute a function. In quadrants II and IV, you see that two of the pairs feature 5 as the domain (x) value. In quadrants II and III, you see that again, the domain value repeats itself, this time as –5. Given these redundancies, while it is clear that relations exist between the values of ...

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