Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What does the vertical line test determine in regard to a graph?

Whether the graph is a function
Whether the graph is linear
Whether the graph has discontinuities
Whether the graph has roots

The correct answer is: Whether the graph is a function

The vertical line test is a method used to determine if a graph represents a function. A function is defined as a relationship where each input (or x-value) corresponds to exactly one output (or y-value). When performing the vertical line test, if a vertical line intersects the graph at more than one point, it indicates that there are multiple y-values for at least one x-value, which means that the relation does not meet the criteria for being a function. Therefore, passing the vertical line test confirms that for every x-value in the graph, there is only one associated y-value, fulfilling the definition of a function.