Windstream
Ojk's Precalculus Study Page: Functions
An introduction to the basic terminology of functions, including how to use the vertical line test on the graph of a relation as a means of testing whether or not it is a function.
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...
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.
![Houghton Mifflin: Math Graphs: Vertical Line Test 33 [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Houghton Mifflin: Math Graphs: Vertical Line Test 33 [Pdf] Unknown Type")
Math Graphs
Houghton Mifflin: Math Graphs: Vertical Line Test 33 [Pdf]
Students determine if a graph is a function by moving a vertical line from one end of the x-axis to the other. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Vertical Line Test 34 [Pdf]
Students determine if a graph is a function by moving a vertical line from one end of the x-axis to the other. The graph is available in PDF format.
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...
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.
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.
Math Graphs
Houghton Mifflin: Math Graphs: Vertical Line Test 31 [Pdf]
The test is used to determine if the relation is a function. The resource consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Vertical Line Test 32 [Pdf]
The test is used to determine if the relation is a function. The resource consists of an enlarged printable version of a graph available in PDF format.
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.
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 A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
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.
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.
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: 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...