About This Chapter
How much do you know about functions? If your knowledge of functions is obsolete or a little rusty, you need to watch our video lessons. We have videos that cover everything from defining a function to using it in complex equations. You'll see example problems throughout our lessons that will demonstrate the concepts being taught.
Check out our lesson on using function notation. Find out when to use it and in what cases it's the most useful. Study transformations and learn how to shift graphs on a plane. Also watch our lessons to learn how to add, subtract, multiply and divide functions.
If you need to get a bit more familiar with functions, watch our lesson that answers the question 'What is domain and range in a function?' Let this lesson show you what values are not allowed in a function, such as a zero denominator and negative root.
Can you compose a function? If not, we've got a lesson that covers that, too. We also have a lesson that covers inverse functions. Learn what an inverse function is and how to find one. Also, catch our lesson that goes over applying function operations. All these lessons give you practice problems, so you can get a clear view of each step and concept being explained.
By the time you've watched our lessons on functions, you'll completely understand why functions are often compared to machines. You'll see how they serve a major role in going from problem to solution. Thanks for watching our video lessons!
1. 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!
2. Transformations: How to Shift Graphs on a Plane
What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!
3. 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.
4. 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!
5. 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.
6. 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.
7. 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!
8. Practice Problem Set for Functions
If you'd like more opportunities to practice the concepts you've learned in this chapter, please download the following practice problem set. After you've completed the set, you can download the answer key to check your work and help your understanding. Please note that these documents are not permissible for use during your proctored exam.
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Other chapters within the Math 101: College Algebra course
- Foundations of Linear Equations
- Matrices and Absolute Value
- Factoring with FOIL, Graphing Parabolas and Solving Quadratics
- Complex Numbers
- Exponents and Polynomials
- Rational Expressions
- Radical Expressions & Functions
- Exponentials and Logarithms
- Probability Mechanics
- Sequences and Series
- Studying for Math 101