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A non-function refers to a relation in which a single input can correspond to multiple outputs. In mathematical terms, a function is defined as a set of ordered pairs where each input (or domain element) is associated with exactly one output (or range element). If an input is linked to more than one output, the relation fails to meet the criteria of a function, making it a non-function. Examples include vertical lines on a graph, which violate the vertical line test for functions.

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