Paul Dawkins
Paul's Online Notes: Algebra: Combining Functions
Detailed math tutorial features notes and examples that take a look at combining functions using addition, subtraction, multiplication, and division. It also discusses function composition. Includes practice and assignment problems.
Khan Academy
Khan Academy: Verifying Inverse Functions by Composition
Learn how to verify whether two functions are inverses by their composition. Students are given examples and practice problems.
Better Lesson
Better Lesson: Algebra Ii: The Trigonometric Functions
A lesson plan where learners will interpret the trigonometric functions in terms of the unit circle, graph a sinusoidal function, and use a sinusoidal function to make interpretations in a modeling context.
Paul Dawkins
Paul's Online Notes: Algebra: Exponential Functions
Detailed math tutorial features notes and examples that introduces exponential functions and their properties.
New York Times
New York Times: Steven Strogatz on the Elements of Math Series the New York Times
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
University of Vienna (Austria)
Math Online: Functions
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Math Medics
S.o.s. Math: Inverse Functions
This tutorial contains four lessons on inverse functions (on five pages) including an introduction, inverse functions with no domain restriction, composition of functions, and inverse functions with domain restriction. Includes practice...
Math Medics
S.o.s. Math: Inverse Functions, No Domain Restrictions
A good S.O.S. Math lesson on inverse functions with examples on inverse functons.
Other
Quick Math: Quadratic Equations
Complete step-by-step investigation of quadratic functions, allowing the user to input the function. Each step, from solving f(x) = 0 to graphing and finding extreme points, is covered in depth, via links for each step (requires...
Interactive Mathematics
Interactive Mathematics: Graphs of the Trigonometric Functions
The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Logarithmic Functions
This clear tutorial provides the definition of a logarithmic function as well as instruction on how to perform important tasks with them. Find step-by-step solutions to example problems and practice exercises for you to complete and check.
Paul Dawkins
Paul's Online Notes: Lamar University: Paul's Online Notes: Algebra: Rational Functions
Detailed tutorial features notes and numerous examples that illustrate how to graph rational functions.
Math Open Reference
Math Open Reference: Function
A complete reference guide to functions including how to use functions, inverse functions, graphing a function, and functions in computer programming. It provides definitions and examples that enhance further explanation.
Khan Academy
Khan Academy: Algebra I: Evaluate Step Functions
Given the graph of a step function, find the function's outputs for given specific inputs. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Recognize Functions From Tables
Determine whether a table of values of a relationship represents a function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan: Lsn 11 Ops W Polynomials, Rewriting Expressions, Quad Functions, Equations
Lesson 1 of 4 for Passport to Advanced Math. Students will add, subtract, and multiply polynomials. They will build quadratic functions and write equations to represent a context.
Paul Dawkins
Paul's Online Notes: Function Practice Problems by Paul's Online Notes
In this section we will cover function notation/evaluation, determining the domain and range of a function and function composition.
Other
Wpi: Applications of Exponential & Logarithmic Functions
This site explains the Applications of exponential and logarithmic functions with exercises to help the student understand the applications.
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions
[Free Registration/Login may be required to access all resource tools.] Learn about the shapes and characteristics of graphs of rational functions. Students examine guided notes, review guided practice, watch instructional videos and...
Oswego City School District
Regents Exam Prep Center: Composition of Functions
This tutorial contains explanations and examples of functions that have been combined, or "compounded." The examples are easy to follow and are great for practice or review.
CK-12 Foundation
Ck 12: Inverse of Functions Through Algebraic Manipulation
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the inverse of functions through algebraic manipulation.
McGraw Hill
Glencoe Mathematics: Quiz on the Application of Trigonometric Functions
The online assessment demonstrates knowledge of advanced mathematical concepts in Algebra II. The questions test students on the application of trigonometric functions.
Math Open Reference
Math Open Reference: Trigonometry Functions Introduction
A complete reference guide to trigonometry functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
University of Georgia
University of Georgia: Piecewise Linear Functions
Piecewise linear functions are presented with examples and definitions. See how piecewise functions are applied to real-world situations through an example with income taxes.
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