Vertical Line Math Definition

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Vertical line math definition.

Vertical line test a method used to check whether or not a relation is a function. Vertical angles vertical angles are different use of the word vertical. Vertical lines help determine if a relation is a function 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.

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. 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. Meaning of vertical line test. Hence any line parallel to the y axis is a vertical line.

In mathematics the vertical line test is a visual way to determine if a curve is a graph of a function or not. Vertical lines in math. In math the y axis is considered vertical. Line l in the given picture is vertical as it is parallel to the y axis.

Given below are some examples. 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. The vertical line test supports the definition of a function. A vertical line is one the goes straight up and down parallel to the y axis of the coordinate plane.

That is every x value of a function must be paired to a single y value. The vertical bar is a glyph with various uses in mathematics computing and typography it has many names often related to particular meanings. 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. The equation of a vertical line always takes the form x k where k is any number and k is also the x intercept.

All points on the line will have the same x coordinate. A vertical line is perpendicular to a horizontal line. The vertical line test 1 cool math has free online cool math lessons cool math games and fun math activities. If the graph of a function can only have one output for each unique input then relation is function otherwise not.

What does vertical line test mean. In geometry a vertical line is one which runs from up and down the page. In the figure above drag either point and note that the line is vertical when they both have the same x coordinate.