Math Words
Math words.com: Vertical Line Test
Go to this site for a basic definition of what the vertical line test is. An example illustration is also given.
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...
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.
![Houghton Mifflin: Math Graphs: Vertical Line Test 7 [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Houghton Mifflin: Math Graphs: Vertical Line Test 7 [Pdf] Unknown Type")
Math Graphs
Houghton Mifflin: Math Graphs: Vertical Line Test 7 [Pdf]
The handout investigates whether y is a function of x. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Vertical Line Test 8 [Pdf]
The handout investigates whether y is a function of x. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Vertical Line Test 17 [Pdf]
Learners determine whether y is a function of x. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Vertical Line Test 16 [Pdf]
Learners determine whether y is a function of x. The graph is available in PDF format.
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: Vertical Shifts of Quadratic Functions
[Free Registration/Login may be required to access all resource tools.] Learn about the effects of shifting quadratic functions vertically.
Texas Instruments
Texas Instruments: Relations and Functions
A function is a relation that assigns exactly one value of the dependent variable to each value of the independent variable. When a function is graphed, a vertical line can pass through the graph and touch only one point.
Math Is Fun
Math Is Fun: What Is a Function
The learning resource investigates functions. Students learn about the concept by exploring definitions and examples. Topics include the vertical line test, relations, and ordered pairs.
Quia
Ixl Learning: Slope
Brush up on your math skills relating to slope then try some practice problems to test your understanding.
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.
Sophia Learning
Sophia: Find Slope and Rate of Change
This learning tutorial demonstrates how to find the slope of a line and the rate of change for a table. The lesson includes several PowerPoint presentations about slope and even provides practice problems for students to test their...
Quia
Ixl Learning: Linear Equations
Brush up on your math skills relating to linear equations then try some practice problems to test your understanding.
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...
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra: Introduction to Functions
This introductory tutorial on functions offers important definitions, examples of functions, and practice exercises for you to complete and check.
Purple Math
Purplemath: Functions Versus Relations
This lesson offers a thorough explanation of functions, domain and range, and how to find them. Includes multiple example problems and graphs. Great review tool for Algebra students.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Graph of Circle as a Function
Dr. Math, in a reply to a student question, describes how a circle can be a function.
Richland Community College
Richland Community College: Graphs of Functions
This site from the Richland Community College provides graphs of Functions offers loose definitions of many terms relative to the graphing of functions.
CK-12 Foundation
Ck 12: Analysis:
[Free Registration/Login may be required to access all resource tools.] Definition of a function and how to identify a function.
CK-12 Foundation
Ck 12: Analysis: Scalar Projections
[Free Registration/Login may be required to access all resource tools.] In this lesson students will study scalar projections: dot products of vectors and unit vectors. Students examine guided notes, review guided practice, watch...