Vertical Line Test Math Example

This is not a function because we have an a with many b it is like saying f x 2 or 4.

Vertical line test math example. When a and b are subsets of the real numbers we can graph the relationship. So let us see a few examples to understand what is going on. Slope of a line. Y 2 5x.

On a graph. If you graph the points 4 5 and 4 6 they are on the same vertical line. X 2 y 2 4. Example 2 of a vertical line.

It fails the vertical line test and so is not a function. Vertical line test strategy try to draw a vertical line on the graph so it intersects the graph in more than one place. If you think about it the vertical line test is simply a restatement of the definition of a function. Y x 3.

Y 2 3x 7. Related to vertical lines. Some examples of relations that are also functions and will always pass the vertical line test. The vertical line test.

Applying the vertical line test. Any vertical line can touch the graph at most once. Is a way to determine if a relation is a function. Here are some examples of relations that are also functions because they pass the vertical line test.

Let us have a on the x axis and b on y and look at our first example. If you can not then the graph represents a function. Y 3x 1. Example 3 of a vertical line.

Cutting or hitting the graph at exactly one point graph of the line f left x right x 1. Which of the graphs represent s a function latex y f left x right latex. How to use the vertical line test to verify whether a graph is a function. Example 1 of a vertical line.

Below are several examples of the equation and graph of different vertical lines. If a graph ever has two points on the same vertical line this means that it can t be a function because an x value has been paired with more than one y value. Create a graph that represents a function and explain why it s a function. There are many different possibilities for this answer but whatever graph you choose to draw must pass the vertical line test.

Some examples of relations that are not functions and will never pass the vertical line test. Y x y 2x 1 y x 2 y x 4 x 3 1.