Interactive
CK-12 Foundation

Identify Functions and the Vertical Line Test: The Vertical Line Test

For Students 9th - 12th
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.
Interactive
Shodor Education Foundation

Vertical Line Test

For Students 9th - 12th Standards
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...
Interactive
CK-12 Foundation

Vertical Line Test: Exploration

For Students 8th - 9th
What do vertical lines have to do with functions? Individuals slide a vertical line through four different graphs. They use that vertical line test to determine if the graphs represent functions.
Interactive
CK-12 Foundation

Algebraic Functions: Vertical Line Test

For Students 8th
To be (a function) or not to be (a function). An easy-to-use interactive has pupils drag a vertical line onto several graphs to determine if they represent functions. Some challenge questions assess understanding of this idea.
Interactive
CK-12 Foundation

Horizontal and Vertical Line Graphs

For Students 8th - 10th Standards
See how vertical and horizontal lines have special equations. Scholars drag vertical and horizontal lines onto a coordinate plane to graph given equations. They then answer a set of challenge questions on the topic.  
Interactive
Khan Academy

Challenge: Lined Paper

For Students 6th - Higher Ed
Now create your own graph paper with this JavaScript programming activity! First, change the while loop that draws horizontal lines into a for loop. Then, add another for loop that draws the vertical lines. For an added challenge,...
Interactive
CK-12 Foundation

Linear and Non-Linear Function Distinction: Domain and Range of a Function

For Students 8th Standards
Functions are special types of relations, but what makes them so special? Pupils use an interactive to slide a vertical line across six different graphs. Ten challenge questions then assess understanding of functions.
Interactive
CK-12 Foundation

Existence: One-to-One Functions and Inverses

For Students 11th - Higher Ed Standards
One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....
Interactive
CK-12 Foundation

Inverse Functions: Definition of Inverse Functions

For Students 11th - Higher Ed Standards
Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...
Interactive
Curated OER

Using Data to Make Graphs: Pretest

For Students 5th
In this data worksheet, 5th graders answer multiple choice questions on data and graphs. Students answer 10 multiple choice questions.
Interactive
Curated OER

Graphing of Functions Using First and Second Derivatives

For Students 11th - 12th
In this calculus learning exercise, students solve problems using the first and second derivatives. They define the behavior of the function based on the derivative. There are 11 questions with an answer key.
Interactive
Curated OER

Exploring Slope

For Students 7th - 8th
In this exploring slope worksheet, students solve and complete 4 different problems. First, they compare an object's weight on Earth to an object's weight on another planet using the information given. Then, students compare this...
Interactive
CK-12 Foundation

Infinite Limit Type: Asymptotes and End Behavior Question

For Students 11th - Higher Ed Standards
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
Interactive
Curated OER

Coordinate Plane

For Students 7th - 8th
In this algebra instructional activity, students investigate the coordinate plane through graphing, plotting and identifying the different quadrants. They identify vertical and horizontal lines in the coordinate plane. There are 10...
Interactive
Shodor Education Foundation

Shodor Interactivate: Vertical Line Test

For Students 9th - 10th Standards
Learn about the vertical line test for functions by trying to connect points in the plane to build a function. When you have connected all of the points, you will be told if your graph is a valid graph of a function.