Vertical Line Math Definition

Line l in the given picture is vertical as it is parallel to the y axis.

Vertical line math definition. 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. The vertical line test 1 cool math has free online cool math lessons cool math games and fun math activities. 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. A vertical line is perpendicular to a horizontal line.

The vertical bar is a glyph with various uses in mathematics computing and typography it has many names often related to particular meanings. Its cousin is the horizontal line which runs left to right across the page. The vertical line test supports the definition of a function. The equation of a vertical line always takes the form x k where k is any number and k is also the x intercept.

Really clear math lessons pre algebra algebra precalculus cool math games online graphing calculators geometry art fractals polyhedra parents and teachers areas too. Vertical angles vertical angles are different use of the word vertical. In math the y axis is considered vertical. If the graph of a function can only have one output for each unique input then relation is function otherwise not.

Also vertical lines are perpendicular to the x axis. All points on the line will have the same x coordinate. In the figure above drag either point and note that the line is vertical when they both have the same x coordinate. Hence any line parallel to the y axis is a vertical line.

That is every x value of a function must be paired to a single y value. A vertical line is one the goes straight up and down parallel to the y axis of the coordinate plane. 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 line test a method used to check whether or not a relation is a function. Vertical lines in math. Meaning of vertical line test. In geometry a vertical line is one which runs from up and down the page.

In mathematics the vertical line test is a visual way to determine if a curve is a graph of a function or not. What does vertical line test mean. Vertical lines help determine if a relation is a function in math.