Corbett Maths
Composite Functions
Turn pupils into composers as they create composite functions. A video lesson presents the process of creating composite functions. The narrator focuses on linear and quadratic functions in the examples and includes substituting a...
Corbett Maths
Inverse Functions
The opposite operations in the opposite order create the inverse of a function. A video demonstration explains the algebraic steps in creating inverse functions from different types of functions. The examples include linear, rational,...
Mathematics Assessment Project
Modeling Motion: Rolling Cups
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup...
Calculus Expert
Finding the Linear Function Given Two Points on its Inverse
Linear functions just never go away! Given two points on the inverse of a function, mathematicians find the equation of the original function using a linear model. The lesson captures the importance of understanding the properties...
Calculus Expert
How to Find the Inverse of a Function
Watch a function stand on its head. Reflect a function to create its inverse and then find the inverse equation algebraically. An instructional video demonstrates how to connect the graphical and algebraic process.
FuseSchool
Inverse Functions
What's the opposite of a function? Viewers of the video learn how to find the inverse of a function. The method of choice here is switching x and y in the algebraic representation.
Calculus Expert
Determine Whether a Function is 1 to 1
Do you want to play a little one-to-one? Learn to determine algebraically if a function is one-to-one. Work through two examples using the video as a guide.
Khan Academy
Khan Academy: Linear Algebra: Introduction to the Inverse of a Function
Video first reviews what a function is. Explains what the identity function is and uses it to define what makes a function invertible. Shows that the inverse will be unique. This video also appears in the strand Algebra: Functions. [18:53]
Khan Academy
Khan Academy: Linear Algebra: Invertibility Implies a Unique Solution to F(x)=y
Video first reviews what it means for a function to be invertible. Shows that if a function is invertible then there is a unique solution to f(x) = y. Also shows that if there is a unique solution to the equation f(x) = y for all y then...
Khan Academy
Khan Academy: Pre Calculus: Introduction to Function Inverses
An instructional video explaining the concept of function inverses. A linear function is given and a diagram is drawn to show the mapping of some elements of the domain to the corresponding elements in the range. The inverse of the...
Khan Academy
Khan Academy: Pre Calculus: Function Inverses Example 2
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...
Khan Academy
Khan Academy: Pre Calculus: Function Inverses Example 3
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...
Khan Academy
Khan Academy: Pre Calculus: Function Inverse Example 1
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....
Sophia Learning
Sophia: Finding the Inverse of a Function: Lesson 11
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 11 of 12 in the series titled "Finding the Inverse of a Function."
Sophia Learning
Sophia: Finding the Inverse of a Function: Lesson 6
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 6 of 12 in the series titled "Finding the Inverse of a Function."
Sophia Learning
Sophia: Finding the Inverse of a Function of a Function: Lesson 10
In this lesson, you will learn how to follow the steps to find the function of a function and its inverse. It is 10 of 10 in the series titled "Finding the Inverse of a Function of a Function."
Sophia Learning
Sophia: Finding the Inverse of a Function: Lesson 9
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 9 of 12 in the series titled "Finding the Inverse of a Function."
Sophia Learning
Sophia: Finding the Inverse of a Function of a Function: Lesson 8
In this lesson, you will learn how to follow the steps to find the function of a function and its inverse. It is 8 of 10 in the series titled "Finding the Inverse of a Function of a Function."
PatrickJMT
Patrick Jmt: Inverse Functions: The Basics
All of the fundamental ideas of inverse functions are discussed in this tutorial. What exactly is an inverse function conceptually? Which functions have inverses? How do I graph inverse functions? What are the other basic relationships?...
Other
Mathispower4u: Ex: Function and Inverse Function Values Using a Graph
This video explains how to determine function values and inverse function values using the graph of a function. [4:23]
Sophia Learning
Sophia: Finding the Inverse of a Function: Lesson 7
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."
Sophia Learning
Sophia: Finding the Inverse of a Function: Lesson 8
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."
Sophia Learning
Sophia: Finding the Inverse of a Function of a Function: Lesson 5
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."
Sophia Learning
Sophia: Finding the Inverse of a Function of a Function: Lesson 7
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."