There's no easier test than the vertical line test. Learners drag a vertical line across the graphs of several relations in an interactive. They answer a set of challenge questions that focus on whether the graphs represent functions.

Connect the points to create a function. Using points given by the applet, pupils try to connect them to create a line that would pass the vertical line test. The resource keeps track of the number of sets the learner is able to identify...

Young scholars examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.

Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test.  However, the problems are pretty...

Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.

Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...

Roller coaster cars traveling along a graph create quite a story! The lesson analyzes both linear and non-linear graphs. Learners determine the intervals that a graph is increasing and/or decreasing and to locate maximum and/or...

Learners use their graphing calculators to view graphs of equations. They tell if each equations is or is not a function and are shown pre-set graphs on their graphing calculators. They use the Quick Poll feature to indicate if the graph...

Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....

Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...

Students solve equations and label it as a function or not. In this algebra lesson, students make a table of values and graph their equation. They identify the domain and range of each graph.

In this intermediate algebra worksheet, students solve 20 multiple choice problems. Problems range from finding the domain and range of a function to identifying the graph of an inverse of a function.

In this Algebra II learning exercise, 11th graders identify the domain and range of a relation and determine if the given relation is a function.  The three page learning exercise contains explanation and eighteen practice...

Students define a functions and solve problems using functions. In this algebra lesson, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.

An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...

Oceanography experts use candy to construct a model of a bio-physical mooring that would test a variety of factors. Each piece of equipment to be included on the mooring is described within the write-up. As pupils gather the candies for...

Young scholars, review the techniques and different types of data analysis as well as how they are expressed, identify why facts and data are needed in conclusion of a questionnaire. The concepts of qualitative and quantitative data are...

Students solve systems of equations. In this algebra lesson, students graph lines and identify the point of intersection. They identify the function to see if it is a function.

High schoolers identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.

Defines the vertical line test and provides a diagram showing graphs which pass and fail the test. Also provides several links for further information.

[Free Registration/Login may be required to access all resource tools.] Learn how to determine whether or not a relation is a function.

[Free Registration/Login may be required to access all resource tools.] In this lesson students determine if a given relation or graph is a function. Students watch a video tutorial, examine guided notes and attempt practice problems.

[Free Registration/Login may be required to access all resource tools.] Learn how to determine whether or not a relation is a function.

Dr. Math, in a reply to a student question, describes how a circle can be a function.