About This Chapter
Who's it for?
Anyone who needs help learning or mastering material for the SAT will benefit from taking this course. There is no faster or easier way to prepare for the SAT. Among those who would benefit are:
- Students who have fallen behind in understanding operations involving functions
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about functions
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources
How it works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the functions chapter exam.
Why it works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the functions chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any question about functions. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
This chapter helps students review the concepts in a functions unit of a standard SAT prep course. Topics covered include:
- Understanding domain and range in a function
- Composing functions
- Adding and subtracting functions
- Multiplying and dividing functions
- Graphing basic functions
- Compounding functions
- Graphing functions of functions
- Graphing the inverse function
- Understanding exponential functions
- Simplifying polynomial functions
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. 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!
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 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. 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!
7. Graphing Basic Functions
Graphs are just like maps - when you know the language! Review how locations have x and y coordinates similar to latitude and longitude, and how to plot points in the Cartesian plane.
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. 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.
11. What Is an Exponential Function?
Brand new technologies don't always catch on right away because they can be expensive and don't always work as well as they should. But once the price comes down, and they start to work better, it doesn't take very long before it seems like everyone has one. Learn about the numbers behind this, exponential functions!
12. 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.
13. 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.
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Other chapters within the SAT Prep: Help and Review course
- SAT - About the Test: Help and Review
- SAT Test Prep: General Info
- Writing - About the Writing Section: Help and Review
- Writing - Text & Argument Analysis: Help and Review
- Writing - Word Choice & Expression: Help and Review
- Writing - Standard English Grammar: Help and Review
- Writing - Writing & Language Test Practice: Help and Review
- Writing - The Essay Portion: Help and Review
- Writing - Planning & Writing An Essay: Help and Review
- Writing - Parts of an Essay: Help and Review
- Writing - Sentence Clarity and Structure: Help and Review
- Writing - Essay Writing Skills: Help and Review
- Writing - How to Write an Argument: Help and Review
- Writing - Supporting Your Writing: Help and Review
- Writing - Revising Your Writing: Help and Review
- Writing - Grammar and Usage: Help and Review
- Reading - About the Reading Section: Help and Review
- Reading - Sentence Completions: Help and Review
- Reading - Reading Passages: Help and Review
- Reading - Understanding Reading Passages: Help and Review
- Reading - Interpreting & Analyzing Text: Help and Review
- Reading - Mastering Reading Passages: Help and Review
- Reading - Literary Terms: Help and Review
- Reading - US Documents & Speeches: Help and Review
- Math - About the Math Section: Help and Review
- Math - Numbers and Operations: Help and Review
- Math - Exponents: Help and Review
- Math - Equations and Expressions: Help and Review
- Math - Rational Equations & Expressions: Help and Review
- Math - Inequalities: Help and Review
- Math - Quadratic Equations: Help and Review
- Math - Ratios, Rates & Proportional Relationships: Help and Review
- Math - Unit Rate & Measurement Conversions: Help and Review
- Math - Geometry and Measurement: Help and Review
- Math - Triangles & Trigonometric Ratios: Help and Review
- Math - Data Analysis, Statistics & Probability: Help and Review
- SAT Vocabulary Practice