Shodor Education Foundation
Vertical Line Test
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...
CK-12 Foundation
Identify Functions and the Vertical Line Test: The Vertical Line Test
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.
CK-12 Foundation
Vertical Line Test: Exploration
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.
CK-12 Foundation
Algebraic Functions: Vertical Line Test
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.
CK-12 Foundation
Linear and Non-Linear Function Distinction: Domain and Range of a Function
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.
CK-12 Foundation
Existence: One-to-One Functions and Inverses
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....
Willow Tree
Functions
What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it.
CK-12 Foundation
Inverse Functions: Definition of Inverse Functions
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...
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
Mt. San Antonio Collage
Test 1: Graphing Functions
Graph the night away with all the different types of functions provided in the instructional activity. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
EngageNY
The Graph of a Function
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
Virginia Department of Education
Linear Modeling
An inquiry-based algebra activity 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...
Charleston School District
Increasing, Decreasing, Max, and Min
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...
EngageNY
The Graph of the Equation y = f(x)
Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...
Calvin Crest Outdoor School
Survival
Equip young campers with important survival knowledge with a set of engaging lessons. Teammates work together to complete three outdoor activities, which include building a shelter, starting a campfire, and finding directions in the...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Domain, Range, Vertical Line Test
A detailed tutorial on functions covering the following topics: finding the domain and range of a function, using the vertical line test, determining whether a function is even, odd, or neither, and applying the greatest integer function...
CK-12 Foundation
Ck 12: Algebra: Vertical Line Test
[Free Registration/Login may be required to access all resource tools.] Learn how to determine whether or not a relation is a function.
University of North Carolina
University of North Carolina Wilmington: Graphs of Functions
Defining the graph of a function, vertical line test, characteristics of graphs, approximating relative extrema, and even and odd functions are covered with examples that include charts and graphs.
Oswego City School District
Regents Exam Prep Center: Algebra 2: Definition of Inverse Function
An introductory look at the definition of an inverse function, the notation used for inverse functions, and tests used to determine whether a function will have an inverse. Several examples are provided for the student to scroll through...
CK-12 Foundation
Ck 12: Algebra: Algebraic Functions
[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.
University of Vienna (Austria)
University of Vienna: Graph or Not Graph
Interactive quiz to determine whether each graph is representative of a function or not. Some graphs are discontinuous, some fail the vertical line test, and some actually are functions. After completion, the site gives a score to judge...
CK-12 Foundation
Ck 12: 3.3 Inverse Functions
This section explores the process for finding inverses of functions, and then proving the function and its inverse algebraically. Additionally, it explores how the graphs of functions and their inverses compare to each other, and it...