Vertical Line Test Definition Math

Draw a vertical line cutting through the graph of the relation and then observe the points of intersection. Vertical line test is graphical representation to determine if a relation is function or not. The vertical line test supports the definition of a function.

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Vertical line test a method used to check whether or not a relation is a function.

Vertical line test definition math. Imagine a vertical line moving horizontally along the x axis. In mathematics the vertical line test is a visual way to determine if a curve is a graph of a function or not. The vertical line test is a method that is used to determine whether a given relation is a function or not. A function can only have one output y for each unique input x.

The approach is rather simple. If the graph of a function can only have one output for each unique input then relation is function otherwise not. Why does this work. Vertical line test in mathematics the vertical line test is a test to determine if a curve is a relation or graph of a function when the function s domain and range correspond to the x and y axis of the cartesian coordinate system.

If a vertical line intersects a curve on an xy plane more than once then for one value of x the curve has more than one value of y and so the curve does not represent a function.