Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of function in your answer.

Answer:

If a vertical line intersects a graph more than once, then the graph has more than one y-value for a given x-value. You can't have two y-values for an x-value in a function. Therefore, the graph is not a function. Compare your response to the sample response above. What did your explanation include?It describes a vertical line passing through the graph more than once.It refers back to the definition of a function.