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- Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.
- Review what a function is.
- Learn to write, find and graph inverse functions.
- Find out how to apply various properties of functions to solve complex problems.
- Learn to add, subtract, multiply and divide functions.
- Identify domains and ranges in functions.
- Find out how to compound functions and graph functions of functions.
- Review factoring, polynomials and quadratic functions.
- Learn to simplify problems with exponents.
1. What is a Function: Basics and Key Terms
Mapping numbers sounds complex, but we do it when we buy gasoline. We pump gasoline, and the gas station charges us based on the amount of gas that we pump. Learn how this relates to functions while reviewing the basics and notations in this lesson.
2. Inverse Functions
Inverse functions are two functions that do exactly opposite things. Check out this lesson to learn about how to write inverse functions, find inverse functions, and predict whether or not they exist.
3. Applying Function Operations Practice Problems
In this lesson, learn how to apply all the different properties of functions to solve complex problems. From function operations and composition to domain and range, get your practice here!
4. How to Compose Functions
Function composition is the process of putting two or more functions together. This video lesson will explain how this process works and also show you how to evaluate functions that have been composed.
5. How to Add, Subtract, Multiply and Divide Functions
Adding, subtracting, multiplying and dividing functions is about as simple as substituting in expressions and then just doing whichever operation it asks you to do. Check out this video lesson to see some examples of this and learn just how easy it is!
6. What Is Domain and Range in a Function?
The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.
7. Functions: Identification, Notation & Practice Problems
A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!
8. Compounding Functions and Graphing Functions of Functions
We know that functions map numbers to other numbers, so what happens when you have a function of a function? Welcome to functions within functions, the realm of composite functions!
9. Understanding and Graphing the Inverse Function
If you use a function to map a to b, is there a way to go back from b to a again? Learn how to find and graph inverse functions so that you can turn a into b and back into a.
10. Polynomial Functions: Properties and Factoring
Everything from projectile motion to trigonometric functions can be described by polynomials. Review factoring, polynomials and quadratic functions in this lesson.
11. Polynomial Functions: Exponentials and Simplifying
How do we keep track of a rapidly multiplying population of bunnies? Well, those are simply powers of 2. Review powers and simplify problems with exponents in this lesson.
12. Explicit Functions: Definition & Examples
After completing this lesson, you will be able to describe different types of explicit functions. You will also be able to write an explicit function and use it to evaluate values of the input variable.
13. Function Operation: Definition & Overview
In this lesson, we will define functions and determine how to use specific rules for the addition, subtraction, multiplication, and division of functions.
14. Function Table in Math: Definition, Rules & Examples
Functions can be represented in four different ways. In this lesson, we will learn what a function table is, and how and when to use a function table to represent a function. We will also explore the rules that define a given function table.
15. Hyperbolic Functions: Properties & Applications
Although related to trigonometric functions, hyperbolic functions have special properties. In this lesson, you'll explore the properties of hyperbolic functions and their usage in both theoretical and real-world applications.
16. Increasing Function: Definition & Example
In this lesson, we will learn what it means for a function to be increasing. We will also learn how to determine if a given function is increasing by observing its graph and working with its derivative.
17. Parent Function in Math: Definition & Examples
This lesson will familiarize us with parent functions. We will look at many examples to learn the definitions of both families of functions and parent functions. We will also look at identifying a parent function in a family of functions.
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