Inverse Function Teacher Resources

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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.
Instructional Video
Khan Academy

Khan Academy: Showing That Inverses Are Linear

For Students 9th - 10th
Showing that inverse transformations are also linear.
Activity
Texas Instruments

Texas Instruments: Sequence of Bounces Activity Modeling Motion

For Teachers 9th - 10th
The student will investigate a function and the function's inverse.
Unit Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Inversion

For Students 9th - 10th Standards
In Spanish. A resource that explains mathematical inversions.
Activity
Texas Instruments

Texas Instruments: Flipping a Penny

For Teachers 9th - 10th
In this activity, students will explore two functions which are inverses of each other. They also explore their characteristics and understand how they reverse each other's operation.
Instructional Video
Khan Academy

Khan Academy: Simplifying Conditions for Invertibility

For Students 9th - 10th Standards
A video lesson explaining that a transformation matrix is invertible if and only if it is a square identity matrix in reduced row echelon form.
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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.
Instructional Video
Khan Academy

Khan Academy: Surjective (Onto) and Injective (One to One) Functions

For Students 9th - 10th Standards
Introduction to surjective and injective functions with examples.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if the Parking Lot

For Teachers 9th - 10th Standards
In this task about parking lot rates, learners investigate what a function is and explain their reasoning. Aligns with F-IF.A.1.
Handout
Math Open Reference

Math Open Reference: Trigonometry Functions Introduction

For Students 9th - 10th Standards
A complete reference guide to trigonometry functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Instructional Video
Khan Academy

Khan Academy: Relating Invertibility to Being Onto and One to One

For Students 9th - 10th Standards
Relating invertibility to being onto (surjective) and one-to-one (injective)
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Invertible or Not?

For Teachers 9th - 10th
For this task, students are asked to complete a table of input-output pairs for two functions in such a way that one of the functions is invertible and the other one is not. Aligns with F-BF.B.4.
Activity
Other

Universite De Nice Sophia Antipolis: Graphic Inverse

For Students 9th - 10th Standards
An introduction to the graphic inverse with many examples the student can work on-line.
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Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 1 [Pdf]

For Students 9th - 10th Standards
Students use the horizontal line test to determine if a function is one-to-one. The problem consists of an enlarged printable version of a graph available in PDF format.
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Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 2 [Pdf]

For Students 9th - 10th Standards
Learners use the horizontal line test to determine if a function is one-to-one. The problem consists of an enlarged printable version of a graph available in PDF format.
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Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 5 [Pdf]

For Students 9th - 10th Standards
The handout examines whether the function is one-to-one by using the horizontal line test. The graph is available in PDF format.
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Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 6 [Pdf]

For Students 9th - 10th Standards
The handout examines whether the function is one-to-one by using the horizontal line test. The graph is available in PDF format.
Website
Other

Inverse Trigonometric Functions [Pdf]

For Students 9th - 10th Standards
This is a ten page selection from a math textbook that highlights the concept of inverse trigonometric functions. The book provides real world examples, worked out practice problems and numerous problems for students to attempt on their...
Handout
Help Algebra

Help algebra.com: Algebra Help: How to Find the Inverse of a Function

For Students 9th - 10th Standards
This page demonstrates the algebraic method for finding the inverse of a function. The examples provided include detailed explanations.
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function Using a Graphical Representation

For Students 9th - 10th
In this lesson, students will learn how to find the inverse of a function's graph. [2:34]
Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Website
Massachusetts Institute of Technology

Mit: Calculus Index

For Students 9th - 10th Standards
This site from the Massachussets Institute of Technology has links to various topics in calculus.
Instructional Video
Sophia Learning

Sophia: Right Circular Cone: Lesson 4

For Students 9th - 10th
During this lesson, you'll discover the definition and specifications of a right circular cone. It is 4 of 4 in the series titled "Right Circular Cone."
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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Inverse Function