6. Formalizing Relations and Functions
Sign In
Not a 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, one of the x-values has two visible corresponding y-values. Therefore, the given graph is not a function.