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Handout
University of Toronto (Canada)

University of Toronto: How to Graph the Inverse of a Function

For Students 9th - 10th Standards
This site explains how to graph an inverse function.
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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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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Inverse Functions

For Students 9th - 10th Standards
Over thirty problems present a variety of practice with inverse functions. Solutions are provided with paid subscription.
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Inverse Functions

For Students 9th - 10th Standards
The sample problems and solutions in this tutorial will show you what an inverse function is: how to find one, how to graph a function and its inverse, and how to determine whether a function has an inverse.
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Handout
Oswego City School District

Regents Exam Prep Center: Algebra 2: Definition of Inverse Function

For Students 9th - 10th Standards
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...
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Activity
Analyze Math

Analyze Math: Logarithmic Functions (1)

For Students 9th - 10th Standards
Learners explore the properties of logarithmic functions. The activity consists of examples with detailed solutions.
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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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Interactive
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Inverse Functions

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains how to find and graph inverse functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who...
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Unit Plan
Lawrence Hall of Science

The Math Page: Topics in Precalculus: Logarithmic and Exponential Functions

For Students 9th - 10th Standards
Clearly and thoroughly explains the graphs of logarithmic and exponential functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have...
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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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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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Interactive
Cool Math

Coolmath: Inverse Tricks

For Students 10th - 12th Standards
Explanation and examples of inverse functions with exponents and logarithms.
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Unit Plan
Paul Dawkins

Paul's Online Notes: Inverse Functions Practice Problems

For Students 9th - 10th Standards
n this section we will define an inverse function and the notation used for inverse functions. We will also discuss the process for finding an inverse function.
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Activity
Paul Dawkins

Paul's Online Notes: Exponential Functions Practice Problems

For Students 9th - 10th Standards
In this section we will discuss exponential functions. We will cover the basic definition of an exponential function, the natural exponential function, i.e. e^x, as well as the properties and graphs of exponential functions
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Handout
Other

Maplesoft: Inverting Non Invertible Functions

For Students 9th - 10th Standards
Online help with math apps on function relations.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Parabolas and Inverse Functions

For Teachers 9th - 10th Standards
This task assumes an understanding of the relationship between functions and equations. Students try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, then the...
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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
Analyze Math

Analyze Math: Domain and Range of Basic Functions

For Students 9th - 10th Standards
Learners examine a table of domain and range for basic functions. The tutorial includes the domain and range of algebraic, trigonometric, inverse trigonometric, hyperbolic, and logarithmic functions.
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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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eBook
CK-12 Foundation

Ck 12: 3.4 Graphs of Logs as the Inverse of Exponential Functions

For Students 9th - 10th Standards
This lesson explores the statement that the log functions are identified as the inverse of exponential functions. These functions will be compared visually through the graphs of both the logarithmic and exponential functions.
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eBook
CK-12 Foundation

Ck 12: 3.3 Inverse Functions

For Students 9th - 10th Standards
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...
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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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Handout
Wolfram Research

Wolfram Math World: One to One Functions

For Students 9th - 10th Standards
A site from Mathworld.com explaining One-to-One Functions. The site contains a definition and links to related sites.