Vertical Line Math Example

The vertical line test supports the definition of a function.

Vertical line math example.

Some examples showing how to use the vertical line test to check if a relation is a function or not. Vertical lines help determine if a relation is a function in math. More about vertical line test. For example 2 0 3 0 4 0 etc.

Similarly the line which goes from left to right and is parallel to the x axis is called a horizontal line. In math the y axis is. Are the points of vertical lines. If we say that the motion is vertical it means the direction of movement is top down or bottom up.

Some examples are shown below. Vertical lines or objects are always perpendicular to the horizontal lines or objects. Explaining why a vertical line doesn t represent a function. That is every x value of a function must be paired to a single y value.

Next we show you a few examples where the vertical line test was used to determine if the graph is a function. Movement can also be vertical. The vertical bar is a glyph with various uses in mathematics computing and typography it has many names often related to particular meanings. Using vertical line test the graph given represents a function as the vertical line drawn intersects the graph at only one point.

Is a way to determine if a relation is a function. A vertical line is one the goes straight up and down parallel to the y axis of the coordinate plane. The line has to be vertical as illustrated above. 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.

A vertical line is drawn across the edge of the ruler from one end of the x axis to the other end. If you re seeing this message it means we re having trouble loading external resources on our website. Vertical lines in math. All points on the line will have the same x coordinate.

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. States that if a vertical line intersects the graph of the relation more than once then the relation is a not 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. The vertical line test.

The vertical lines have no slope. Examples of vertical line test. 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. If you think about it the vertical line test is simply a restatement of the definition of a function.