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Concept

# Function

A function is a relation in which each input value corresponds to exactly one output value. If $x$ represents the inputs and $y$ the outputs of a function, it is often said that $y$ is a function of $x."$ Depending on the way in which the relation is represented, deciding if it is a function can be done in different ways. If the relation is given as a set of coordinates, representing it with a mapping diagram can be helpful. If the relation is instead given as a graph, the Vertical Line Test can be used.