Inverse Function Teacher Resources
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Khan Academy
Khan Academy: Determine if a Function Is Invertible
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.
Khan Academy
Khan Academy: Showing That Inverses Are Linear
Showing that inverse transformations are also linear.
Texas Instruments
Texas Instruments: Sequence of Bounces Activity Modeling Motion
The student will investigate a function and the function's inverse.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Inversion
In Spanish. A resource that explains mathematical inversions.
Texas Instruments
Texas Instruments: Flipping a Penny
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.
Khan Academy
Khan Academy: Simplifying Conditions for Invertibility
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.
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: Surjective (Onto) and Injective (One to One) Functions
Introduction to surjective and injective functions with examples.
Illustrative Mathematics
Illustrative Mathematics: F if the Parking Lot
In this task about parking lot rates, learners investigate what a function is and explain their reasoning. Aligns with F-IF.A.1.
Math Open Reference
Math Open Reference: Trigonometry Functions Introduction
A complete reference guide to trigonometry functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Khan Academy
Khan Academy: Relating Invertibility to Being Onto and One to One
Relating invertibility to being onto (surjective) and one-to-one (injective)
Illustrative Mathematics
Illustrative Mathematics: F Bf Invertible or Not?
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.
Other
Universite De Nice Sophia Antipolis: Graphic Inverse
An introduction to the graphic inverse with many examples the student can work on-line.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 1 [Pdf]
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.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 2 [Pdf]
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.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 5 [Pdf]
The handout examines whether the function is one-to-one by using the horizontal line test. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 6 [Pdf]
The handout examines whether the function is one-to-one by using the horizontal line test. The graph is available in PDF format.
Other
Inverse Trigonometric Functions [Pdf]
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...
Help Algebra
Help algebra.com: Algebra Help: How to Find the Inverse of a Function
This page demonstrates the algebraic method for finding the inverse of a function. The examples provided include detailed explanations.
Sophia Learning
Sophia: Finding the Inverse of a Function Using a Graphical Representation
In this lesson, students will learn how to find the inverse of a function's graph. [2:34]
Richland Community College
Richland Community College: Math 116 Lecture Notes
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."
Massachusetts Institute of Technology
Mit: Calculus Index
This site from the Massachussets Institute of Technology has links to various topics in calculus.
Sophia Learning
Sophia: Right Circular Cone: Lesson 4
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."
CK-12 Foundation
Ck 12: Analysis: Functions and Inverses
[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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