Vertical Line Test Math Definition

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

Vertical line test math definition.

A relation is a function if there are no vertical lines that intersect the graph at more than one point. That is every x value of a function must be paired to a single y value. Some types of functions have stricter rules to find out more you can read injective surjective and bijective. A graph is said to be a function if the vertical line drawn does not intersect the graph more than one point.

The vertical line test supports the definition of a function. 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. Is a way to determine if a relation is a function. Terms and formulas from algebra i to calculus.

This page updated 19 jul 17 mathwords. The vertical line test. The vertical line test 1 cool math has free online cool math lessons cool math games and fun math activities. More about vertical line test.

A test use to determine if a relation is a function. If the graph of a function can only have one output for each unique input then relation is function otherwise not. Vertical line test definition vertical line test is relation between two terms like between x and y term vertical line test is graphical representation to determine if a relation is function or not. Vertical line test is a test used to determine whether a relation is a function or not.

On a graph the idea of single valued means that no vertical line ever crosses more than one value. In mathematics the vertical line test is a visual way to determine if a curve is a graph of a function or not. If it crosses more than once it is still a valid curve but is not a function. Really clear math lessons pre algebra algebra precalculus cool math games online graphing calculators geometry art fractals polyhedra parents and teachers areas too.

My examples have just a few values but functions usually work on. If we think of a vertical line as an infinite set of x values then intersecting the graph of a relation at exactly one point by a vertical line implies that a single x value is only paired to a unique value of y. A function can only have one output y for each unique input x 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. If you think about it the vertical line test is simply a restatement of the definition of a function.

Horizontal line test one to one function. States that if a vertical line intersects the graph of the relation more than once then the relation is a not a function. In this lesson you ll learn more about functions and how the vertical line test can be used to recognize. The vertical line test is a quick way to determine if a given relationship is a function.

Meaning of vertical line test.