Vertical Line Math Example

That is every x value of a function must be paired to a single y value.

Vertical line math example.

You will see a correct vertical line test and an incorrect vertical line test. Vertical lines or objects are always perpendicular to the horizontal lines or objects. Movement can also be vertical. All points on the line will have the same x coordinate.

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 help determine if a relation is a function in math. Using vertical line test the graph given represents a function as the vertical line drawn intersects the graph at only one point.

Similarly the line which goes from left to right and is parallel to the x axis is called a horizontal line. Next we show you a few examples where the vertical line test was used to determine if the graph is a function. If we say that the motion is vertical it means the direction of movement is top down or bottom up. 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. In math the y axis is. A vertical line is one the goes straight up and down parallel to the y axis of the coordinate plane. Vertical lines in math.

Examples of vertical line test. 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. If you think about it the vertical line test is simply a restatement of the definition of a function.

States that if a vertical line intersects the graph of the relation more than once then the relation is a not a function. More about vertical line test. The equation of a vertical line always takes the form x k where k is any number and k is also the x intercept. 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 vertical bar is a glyph with various uses in mathematics computing and typography it has many names often related to particular meanings. The vertical line test. Some examples showing how to use the vertical line test to check if a relation is a function or not. Is a way to determine if a relation is a function.

In the figure above drag either point and note that the line is vertical when they both have the same x coordinate. If you re seeing this message it means we re having trouble loading external resources on our website. The vertical line test supports the definition of a function. The vertical lines have no slope.