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 students 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.
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.
Khan Academy
Khan Academy: Function Inputs & Outputs: Graph
Find all the inputs that correspond to a given function output, using the function's graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Algebra: Composition of Functions
[Free Registration/Login may be required to access all resource tools.] This lesson describes and demonstrates composition of functions. Students examine guided notes, review guided practice, watch instructional videos and attempt...
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: Restrict Domains of Functions to Make Them Invertible
Given the graph of a function, find ways to restrict its domain in order to make it invertible. 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.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Continuous Functions
Here is a site that clearly and thoroughly explains continuous functions and what it means for a function to be continuous. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Louisiana Department of Education
Louisiana Doe: Louisiana Believes: Eureka Math Parent Guide: Examples of Functions From Geometry
A guide to support parents as they work with their students in examples of functions from geometry.
Oswego City School District
Regents Exam Prep Center: Determining Relations and Functions
This resource offers definitions for "relation", "function", and "functional relation", and examples to illustrate each.
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 Is Fun
Math Is Fun: Sine, Cosine, Tangent
Students learn about the sine, cosine, and tangent functions. The tutorial consists of notes, examples, and practice problems to check for comprehension.
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