Khan Academy
Functions (Part 4)
This video explores a listener's example of a function. You are given the composite function and one function, and you must find the other function.
Khan Academy
Functions (Part III)
Sal draws a graphical representation of a function, f(x), and builds and evaluates other functions based on that function.
Krista King Math
Use Limit Laws to Evaluate Limits of Combination Functions
There are properties of real numbers, properties of exponents, and yes, even properties of limits. By watching the video, viewers learn how to apply properties of limits to determine the limits of combinations of functions. The...
Calculus Expert
Composite Functions
Make nesting dolls out of functions! An educational video describes the steps to creating a composite of three functions.
National Education Association
Function Notation
Function, function, what is your notation. Introduce your class to function notation with a video that shows examples of how to evaluate functions at numerical values along with algebraic values. The last example shows pupils...
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...
Khan Academy
Introduction to Functions
In this introduction to functions video, Sal intuitively defines a function and introduces the function notion f(x). He finishes the video by looking at a simple example of evaluating g(f(x)) without getting into the complexity of...
Krista King Math
Composite Functions and Their Domains
What do musicians and mathematicians have in common? Compositions! Learners review function composition in the previous video in a series of 29, and expand that review to include the domain of the composition. The instructor uses...
Khan Academy
Functions Part 2
This video continues to look at evaluating functions by looking at examples of evaluating basic composite functions.
Flipped Math
Calculus AB/BC - The Chain Rule
Unshackle oneself from the burden of not understanding derivatives. The first of seven lessons in Unit 3 - Differentiation looks at the Chain Rule. By watching a video, scholars learn when to apply the rule and how to use it to determine...
Curated OER
What's a Prime Polynomial?
The instructor defines a prime polynomial as much the same as a prime number: they only have two factors, 1 and itself. She further demonstrates what a composite polynomial is to give an example of a polynomial that is not prime.
Khan Academy
Khan Academy: Algebra: Functions (Part 4)
Video showing how to solve for a function given a composition of functions and one of the functions. Also shows how the problem can be solved using the different multiple choice options. Includes link for additional practice at the top...
Khan Academy
Khan Academy: Algebra: Algebra Ii: Functions and Probability
Video solving problems 70 to 75 of the Californa Standards Algebra II Test. Concepts covered include arithmetic sequences and series, writing the expression for a composition of functions and evaluating the composition of functions,...
Khan Academy
Khan Academy: Algebra Ii: Functions: Intro to Composing Functions
Explains what it means to compose two functions. Gives examples for finding the values of composite functions given the equations, the graphs, or tables of values of the two composed functions. [6:14]
Khan Academy
Khan Academy: Verifying Inverse Functions by Composition
A video that demonstrates an example of how to verify if functions are inverses through composition. [6:41]
Khan Academy
Khan Academy: Calculus: Even More Chain Rule
Video lesson demonstrating the derivative of composite functions using the formal definition of the chain rule. Includes a link to additional practice at the top of the video. [9:50]