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Handout
Johan Claeys

Math Abundance: Hyperbolic Functions and Inverses

For Students 9th - 10th Standards
Site has information and examples for topics about hyperbolic functions and inverses.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Functions and Inverses

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students are provided with an introduction to inverses of functions. Students examine guided notes, review guided practice, watch instructional videos...
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Handout
Purple Math

Purplemath: Proving That Two Functions Are Inverses of Each Other

For Students 9th - 10th Standards
This resource explains how to verify that two functions are inverses of each other.
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Unit Plan
Khan Academy

Khan Academy: Verifying Inverse Functions by Composition

For Students 9th - 10th Standards
Learn how to verify whether two functions are inverses by their composition. Students are given examples and practice problems.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Functions and Inverses

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the inverse of a function. Students examine guided notes, review guided practice and attempt practice problems.
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Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Inverse Functions

For Students 9th - 10th Standards
The resource investigates inverse functions. Topics examined are domain, range, one-to-one functions, graphing inverse functions, finding inverse functions algebraically, and logarithmic and exponential functions. Students learn about...
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Handout
Other

Radford Univ.: One to One Functions and Inverse Functions

For Students 9th - 10th Standards
This is a very short site from Radford University with a definition of One-To-One Functions and Inverse Functions.
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Unit Plan
Math Medics

S.o.s. Math: Inverse Functions

For Students 9th - 10th Standards
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...
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Website
Oswego City School District

Regents Exam Prep Center: Graphs of the Inverse Trig Functions

For Students 9th - 10th Standards
This site reviews basic information on inverse functions and inverse notation. Graphs of inverse trig functions are shared and discussed.
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Unit Plan
Cuemath

Cuemath: Reciprocal Function

For Students 9th - 10th Standards
Explore the world of reciprocal functions in this mini-lesson. Discusses a definition its domain and range, graphing of the reciprocal function, solved examples on reciprocal functions, and interactive questions.
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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Inverses of Trigonometric Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the domain and range of inverse trigonometric functions by utilizing the reflection principle.
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Unit Plan
Texas Education Agency

Texas Gateway: Functions and Their Inverses

For Students 9th - 10th Standards
Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.
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Unit Plan
Cuemath

Cuemath: Inverse Operations

For Students 3rd - 8th
Explore the world of inverse operations by finding answers to questions like what are inverse operations, what are properties of inverses, and how to use inverse operations with help of interactive questions on inverse operations.
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Unit Plan
Sophia Learning

Sophia: Graphing Inverse Variation Functions

For Students 9th - 10th Standards
This learning tutorial about how to graph inverse variation functions combines videos, a PowerPoint presentation, and helpful hints. The videos demonstrate how to solve example problems and the PowerPoint presentation provides some key...
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Composition of Functions

For Students 11th - 12th Standards
[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...
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Activity
Cengage Learning

Cengage: Inverse Trigonometric Functions [Pdf]

For Students 9th - 10th Standards
This site provides a presentation on inverse trigonometric functions. In the presentation students will learn to evaluate and graph the inverse sine function, other inverse trigonometric functions and the composition of trigonometric...
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Activity
Texas Instruments

Texas Instruments: Functions, Relations, and Inverses

For Teachers 9th - 10th
This set of questions pertains to definition of functions, relations, inverses, and composition. Questions are multiple choice, true/false, and short answer. Solutions and explanations are included.
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Activity
Purple Math

Purplemath: Inverse Functions: Definition of "Inverse" / Drawing the Inverse

For Students 9th - 10th Standards
Explains the concept of inverse functions, covers some typical exercises, and demonstrates how to find the inverse of a given function.
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Activity
University of North Carolina

University North Carolina Wilmington: Inverse Functions

For Students 9th - 10th Standards
Take a look at inverse functions from their definition to graphing them. This site also shows you how to find the inverse of a function.
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Handout
Math Medics

S.o.s. Math: On Inverse Functions With Restricted Domains

For Students 9th - 10th Standards
Offers a step-by-step explanation of a one-to-one function problem on inverse functions with restricted domains, clearly using the horizontal line test. Includes sample problems.
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Graphic
Math Medics

S.o.s. Math: Inverse Functions, No Domain Restrictions

For Students 9th - 10th Standards
A good S.O.S. Math lesson on inverse functions with examples on inverse functons.
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Handout
Paul Dawkins

Paul's Online Notes: Algebra: Inverse Functions

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that take a look at the process of finding inverse functions. It also defines one-to-one functions.
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Activity
eFunda

Engineering Fundamentals: Hyperbolic Functions

For Students 9th - 10th Standards
A complete list of hyperbolic functions, plots of hyperbolic functions, and formulas. Includes links to related topics.
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Unit Plan
Purple Math

Purplemath: Composition of Functions: Composing With Sets of Points

For Students 9th - 10th
An in-depth lesson that explains the notation and terminology of function composition, and demonstrates how to use composition. Successive pages look at composing functions at points, composing functions with functions, word problems...

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