Inverse Function Teacher Resources

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Instructional Video
Sophia Learning

Sophia: Evaluating an Inverse Function

For Students 9th - 10th
Given an inverse trigonometric function, this lesson demonstrates how it can be evaluated for a particular value.
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Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 3 [Pdf]

For Students 9th - 10th Standards
The example explores the horizontal line test and inverse functions. The handout is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Horizontal Line Test 4 [Pdf]

For Students 9th - 10th Standards
The example explores the horizontal line test and inverse functions. The handout is available in PDF format.
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function of a Function: Lesson 5

For Students 9th - 10th Standards
In this lesson, you will learn how to follow the steps to find the function of a function and its inverse. It is 5 of 10 in the series titled "Finding the Inverse of a Function of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function of a Function: Lesson 7

For Students 9th - 10th Standards
In this lesson, you will learn how to follow the steps to find the function of a function and its inverse. It is 7 of 10 in the series titled "Finding the Inverse of a Function of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function of a Function: Lesson 2

For Students 9th - 10th Standards
In this lesson, you will learn how to follow the steps to find the function of a function and its inverse. It is 2 of 10 in the series titled "Finding the Inverse of a Function of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 7

For Students 9th - 10th Standards
This lesson will describe how to find the inverse of a function by solving for x in terms of y and then switching x and y. It is 7 of 12 in the series titled "Finding the Inverse of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 8

For Students 9th - 10th Standards
This lesson will describe how to find the inverse of a function by solving for x in terms of y and then switching x and y. It is 8 of 12 in the series titled "Finding the Inverse of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 2

For Students 9th - 10th Standards
This lesson will describe how to find the inverse of a function by solving for x in terms of y and then switching x and y. It is 2 of 12 in the series titled "Finding the Inverse of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 4

For Students 9th - 10th Standards
This lesson will describe how to find the inverse of a function by solving for x in terms of y and then switching x and y. It is 4 of 12 in the series titled "Finding the Inverse of a Function."
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.
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.
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Determining Whether a Transformation Is Onto

For Students 9th - 10th Standards
Video reviews from previous videos that a function is invertible if and only if it is onto and one-to-one. Shows how to determine if a linear transformation is onto by showing that the columns of the transformation matrix span the...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Relating Invertibility to Onto and One to One

For Students 9th - 10th Standards
Video first reviews that a function is invertible if and only if there is a unique solution to f(x) = y for any y. Extends this to show that a function is invertible if and only if it is surjective (onto) and injective (one-to-one). [6:31]
Unit Plan
University of Guelph

University of Guelph: Physics Tutorials: Graphing Exponential Functions

For Students 9th - 10th Standards
This is a tutorial site explaining different types of graphs of exponential functions.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Relations and Functions

For Students 9th - 10th Standards
Hotmath provides eighteen practice problems dealing with relations, functions, and their graphs. Each of the practice problems include a step-by-step guide for solving their Algebraic problem.
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
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.
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.
Instructional Video
Khan Academy

Khan Academy: Pre Calculus: Function Inverses Example 2

For Students 9th - 10th Standards
The second in a series of videos on function inverses. This video goes through an example for finding the inverse of a quadratic function. The need is discussed for restraints on the domain of the original function in order for the...
Instructional Video
Khan Academy

Khan Academy: Pre Calculus: Function Inverses Example 3

For Students 9th - 10th Standards
The final segment in the Khan Academy's series on function inverses. Similar to the previous video, this segment does another example for finding the inverse of a quadratic function. Again the instructor explains the need for restraints...
Instructional Video
Khan Academy

Khan Academy: Pre Calculus: Function Inverse Example 1

For Students 9th - 10th Standards
This video goes through two examples of how to find the inverse of a linear function. Both the function and its inverse are graphed on the same coordinate axis where it is shown that they are a reflection of each other over the line y=x....
Instructional Video
Other

Thinkwell Vids: Verifying That Functions Are Inverses

For Students 9th - 10th Standards
This video with Professor Edward Burger examines ways to determine if two functions are inverses of each other. [12:30]
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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