Vertical Line Math Example

The vertical bar is a glyph with various uses in mathematics computing and typography it has many names often related to particular meanings.

Vertical line math example. The vertical lines have no slope. 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. Similarly the line which goes from left to right and is parallel to the x axis is called a horizontal line. The vertical line test supports the definition of a function.

For example 2 0 3 0 4 0 etc. 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 lines or objects are always perpendicular to the horizontal lines or objects. Is a way to determine if a relation is a function.

Using vertical line test the graph given represents a function as the vertical line drawn intersects the graph at only one point. The equation of a vertical line always takes the form x k where k is any number and k is also the x intercept. If you think about it the vertical line test is simply a restatement of the definition of a function. A vertical line is drawn across the edge of the ruler from one end of the x axis to the other end.

Explaining why a vertical line doesn t represent a function. 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. Are the points of vertical lines. Vertical line test is generally done by using a ruler.

The line has to be vertical as illustrated above. In math the y axis is. Some examples are shown below. Vertical lines help determine if a relation is a function in math.

Examples of vertical line test. Next we show you a few examples where the vertical line test was used to determine if the graph is a function. That is every x value of a function must be paired to a single y value. In the figure above drag either point and note that the line is vertical when they both have the same x coordinate.

A vertical line is one the goes straight up and down parallel to the y axis of the coordinate plane. If you re seeing this message it means we re having trouble loading external resources on our website. The vertical line test. Some examples showing how to use the vertical line test to check if a relation is a function or not.

Movement can also be vertical. All points on the line will have the same x coordinate. More about vertical line test. You will see a correct vertical line test and an incorrect vertical line test.