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Activity
Wolfram Research

Wolfram Mathworld: Inverse Function

For Students 9th - 10th Standards
Site gives a definition of the inverse function as well as the example of the inverse of f(x)=x. Also included are formulas and links to related sites.
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Activity
Texas Instruments

Texas Instruments: The Inverse Relationship Between Pressure and Volume

For Teachers 9th - 10th
In this activity, students' will use a pressure sensor to investigate the relationship between pressure and volume for an enclosed air sample, and fit an inverse function model to the pressure versus volume data.
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Graphic
BBC

Bbc: Functions

For Students 9th - 10th Standards
This resource takes a look at graphs of functions, composite functions, inverse functions and how to use completing the square to solve quadratic functions. A number of examples and a practice test are offered.
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Activity
Paul Dawkins

Paul's Online Notes: Algebra: Graphing and Functions

For Students 9th - 10th Standards
Students investigate functions and graphing. Topics examined are lines, circles, graphing functions, inverse functions, and combining functions. Class notes, definitions, and examples with detailed solutions are included. The class notes...
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Handout
Oswego City School District

Regents Exam Prep Center: Graphically Represent the Inverse of a Function

For Students 9th - 10th Standards
Investigates how to graph the inverse of a function. There is also an explanation that involves the use of a graphing calculator.
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Activity
Cool Math

Coolmath: How to Tell if Two Functions Are Inverses

For Students 6th - 8th
Use this tutorial to find out if two functions are inverses.
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Article
Cool Math

Coolmath: How to Find the Inverse of a Function

For Students 6th - 8th
Find out how to find the inverse of a function.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Inverse Function Graph 3 [Pdf]

For Students 9th - 10th Standards
Students use the given graph to sketch the inverse function. The math graph is available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Inverse Function Graph 4 [Pdf]

For Students 9th - 10th Standards
Students use the given graph to sketch the inverse function. The math graph is available in PDF format.
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Activity
Virginia Commonwealth University

Virginia Commonwealth University: Inverse Function

For Students 9th - 10th Standards
This page from the Virginia Commonwealth University is a slide with a short definition of the inverse function and its' derivative. It provides formulas.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Rainfall

For Teachers 9th - 10th Standards
In this task, students are asked to analyze a function and its inverse when the function is given as a table of values. In addition to finding values of the inverse function from the table, they also have to explain why the given...
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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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Unit Plan
CK-12 Foundation

Ck 12: Composition of Inverse Reciprocal Trig Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] On this site students learn about the composition of inverse trigonometric functions. Students read about inverse reciprocal functions, watch a video about the topic...
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Unknown Type
Khan Academy

Khan Academy: Determine if a Function Is Invertible

For Students 9th - 10th Standards
Given the table of values of a function, determine whether it is invertible or not by examining its domain. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unknown Type
Khan Academy

Khan Academy: Restrict Domains of Functions to Make Them Invertible

For Students 9th - 10th Standards
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.
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Handout
Other

Radford University: One to One and Inverse Functions

For Students 9th - 10th Standards
This site from the Radford University provides a concise mathematical definition of one-to-one and inverse functions.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Inverse Trigonometric Functions

For Students 9th - 10th Standards
Sixteen problems present a variety of practice working with inverse trigonometric functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
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Activity
Math Medics

S.o.s. Math: Logarithms and Exponential Functions

For Students 9th - 10th Standards
This tutorial contains 13 lessons on logarithms and exponential functions including exponential shortcuts and rules, graphs and rules of logarithms, and many more.
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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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Unknown Type
University of Saskatchewan (Canada)

University of Saskatchewan: Exponential and Logarithmic Functions

For Students 9th - 10th Standards
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important topics in exponential and logarithmic functions....
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Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Trigonometric Functions

For Students 9th - 10th Standards
This site examines the six trigonometric functions from a right triangle point of view. Provides information, examples, and lots of exercises for understanding.
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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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PPT
Other

Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf]

For Students 9th - 10th Standards
This slideshow explains how to verify by composition that two functions are inverses of each other.
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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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