6. Formalizing Relations and Functions
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Function
Consider the given graph.
For a relation to be a function, each x-value can only be paired with one y-value, but one y-value can be paired with multiple x-values. In a graph, we can check if each x-value has only one y-value by using the Vertical Line Test.
As we can see, each vertical line intersects the graph at only one point. Therefore, the given graph is a function.