Vertical Line Test Definition Math

The vertical line test 1 cool math has free online cool math lessons cool math games and fun math activities.

Vertical line test definition math.

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. In mathematics the vertical line test is a visual way to determine if a curve is a graph of a function or not. Terms and formulas from algebra i to calculus. That is every x value of a function must be paired to a single y value.

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. Is a way to determine if a relation is a function. The graphs of functions can be straight lines or segments curves or even just a set of points. In order to be a function each x value can only be paired with exactly one y value.

More about vertical line test. Vertical line test is generally done by using a ruler. A relation is a function if there are no vertical lines that intersect the graph at more than one point. Horizontal line test one to one function.

A graph is said to be a function if the vertical line drawn does not intersect the graph more than one point. But not all graphs represent functions. Really clear math lessons pre algebra algebra precalculus cool math games online graphing calculators geometry art fractals polyhedra parents and teachers areas too. Definition of vertical line test.

The vertical line test supports the definition of a function. Vertical line test is a test used to determine whether a relation is a function or not. What does vertical line test mean. The vertical line test.

This page updated 19 jul 17 mathwords. A test use to determine if a relation is a function. 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.

The vertical line test is a visual test that you can use to quickly check and see if a graph represents 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. If you think about it the vertical line test is simply a restatement of the definition of a function.