Nov 11, 2022 · This free Vertical Line Test step-by-step guide will teach you how to figure out whether or not a relation is or is not a function by looking at its graph and using a simple mathematical tool called the vertical line test.

How To: Given a graph, use the vertical line test to determine if the graph represents a function. Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, determine that the graph does not represent a function.

The vertical line cuts the graph of a function at only one point, and hence it has only one y value(codomain) for the x value(domain). Let us learn more about graphing a vertical line test, and how to apply the vertical line test, with the help of examples, FAQs.

Apr 3, 2025 · The vertical line test is a valuable tool in mathematics for identifying whether a graph represents a function. By ensuring that each input has a unique output, it reinforces the foundational concept of functions and aids in the accurate analysis of mathematical relations.

The vertical line test is a graphical test method used to determine whether a graph is the graph of a function. The vertical line test states that the graph of a set of points in a coordinate plane is the function's graph if every vertical line intersects the graph in at most one point.

Draw a vertical line cutting through the graph of a relation, and then observe the points of intersections. The vertical line test supports the definition of a function. That is, every -value of a function must be paired to a single -value.

A vertical line test is a visual tool that determines whether a relationship is a function. A graph is a function only if it passes the test – if every vertical line intersects the graph only at one point.

If the vertical line only touches the graph at one point, then it is a function. If the vertical line touches in more than one point, then it is NOT a function. Let's graph our points and use the vertical line test to prove that this is a function.

What's the Vertical Line Test? Even graphs need to worry about tests! Using the vertical line test, you can figure out if a graph is a function or not. Watch this tutorial and learn about the vertical line test. Then, put your graphs to the test!

Practice using the vertical line test to identify functions. Step-by-step solutions included!