Vertical Line Test Math Definition Example

The vertical line test is a method that is used to determine whether a given relation is a function or not.

Vertical line test math definition example.

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 system. The approach is rather simple. The vertical line test shown graphically. The equation of a vertical line always takes the form x k where k is any number and k is also the x intercept.

Link 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. Why does this work. A vertical line test is a visual way to determine if the graph of a relation is a function using a vertical line. As a result the relation is not 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. In order to be a function each x value can only be paired with exactly one y value. The vertical line test. If the vertical line passes through at least two points on the graph then an element in the domain is paired with more than 1 element in the range.

Vertical line test is generally done by using a ruler. The vertical line test is performed by sketching a graph of the equation or by using a calculator to. Is a way to determine if a relation is a function. The abscissa shows the domain of the to be tested function.

Let s say your function has the ordered pair 4 5. The vertical line test is a visual test that you can use to quickly check and see if a graph represents a function. This means that when x is 4 the y must be 5. For example on the interval π 2 π 2 y sin x is one to one and therefore has an inverse for that interval.

The vertical line test is a simple method for determining if an equation is indeed a function. Draw a vertical line cutting through the graph of the relation and then observe the points of intersection. If you think about it the vertical line test is simply a restatement of the definition of a function. A function can only have one output y for each unique input x.

In mathematics the vertical line test is a visual way to determine if a curve is a graph of a function or not. Examples of vertical line test using vertical line test the graph given represents a function as the vertical line drawn intersects the graph at only one point. Vertical lines help determine if a relation is a function in math.