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Non-examples of functions include cases where a single input corresponds to multiple outputs. For instance, a relation that assigns a person's name to their multiple phone numbers is not a function, as one name can lead to several numbers. Similarly, the vertical line test in graphing shows that any vertical line intersecting a graph at more than one point indicates that the graph does not represent a function. Another example is the relation that maps a student to their grades in different subjects, as one student can have multiple grades.

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