Vertical Line Math Definition

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.

Vertical line math definition.

Vertical line test a method used to check whether or not a relation is a function. Also vertical lines are perpendicular to the x axis. 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. Its cousin is the horizontal line which runs left to right across the page.

What does vertical line test mean. Vertical angles vertical angles are different use of the word vertical. All points on the line will have the same x coordinate. Really clear math lessons pre algebra algebra precalculus cool math games online graphing calculators geometry art fractals polyhedra parents and teachers areas too.

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. For instance in the graph below the vertical line has the equation x 2 as you can see in the picture below the line goes straight up and down at x 2. In mathematics the vertical line test is a visual way to determine if a curve is a graph of a function or not. A vertical line is perpendicular to a horizontal line.

Hence any line parallel to the y axis is a vertical line. Line l in the given picture is vertical as it is parallel to the y axis. The equation of a vertical line always takes the form x k where k is any number and k is also the x intercept. Given below are some examples.

A vertical line is one the goes straight up and down parallel to the y axis of the coordinate plane. In math the y axis is considered vertical. The vertical line test 1 cool math has free online cool math lessons cool math games and fun math activities. Meaning of vertical line test.

That is every x value of a function must be paired to a single y value. The vertical line test supports the definition of a function. In the figure above drag either point and note that the line is vertical when they both have the same x coordinate. Vertical lines in math.

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. Sheffer stroke in logic verti bar vbar stick vertical line vertical slash bar pike or pipe and several variants on these names it is occasionally considered an allograph of broken bar see below. Vertical lines help determine if a relation is a function in math.