Vertical Line Test Math Definition

This page updated 19 jul 17 mathwords.

Vertical line test math definition.

The vertical line test is a quick way to determine if a given relationship is a function. Is a way to determine if a relation is a function. Vertical line test is a test used to determine whether a relation is a function or not. A graph is said to be a function if the vertical line drawn does not intersect the graph more than one point.

What does vertical line test mean. States that if a vertical line intersects the graph of the relation more than once then the relation is a not a function. If the graph of a function can only have one output for each unique input then relation is function otherwise not. In mathematics the vertical line test is a visual way to determine if a curve is a graph of a function or not.

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. Vertical line test a method used to check whether or not a relation is a function. If it crosses more than once it is still a valid curve but is not a function. Vertical line test is generally done by using a ruler.

The vertical line test supports the definition of a function. On a graph the idea of single valued means that no vertical line ever crosses more than one value. Definition of vertical line test. 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.

A test use to determine if a relation is a function. The vertical line test 1 cool math has free online cool math lessons cool math games and fun math activities. Some types of functions have stricter rules to find out more you can read injective surjective and bijective. Horizontal line test one to one function.

Terms and formulas from algebra i to calculus. Really clear math lessons pre algebra algebra precalculus cool math games online graphing calculators geometry art fractals polyhedra parents and teachers areas too. 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. A relation is a function if there are no vertical lines that intersect the graph at more than one point.

If you think about it the vertical line test is simply a restatement of the definition of a function. 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. The vertical line test. Meaning of vertical line test.

My examples have just a few values but functions usually work on.