About This Chapter
Who's it for?
Anyone who needs help learning or mastering GRE material will benefit from taking this course. There is no faster or easier way to acquire the skills needed to take the GRE. 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 GRE prep course. Topics covered include:
- Identifying domain and range in a function
- Composing functions
- Adding, subtracting and multiplying functions
- Dividing functions
- Graphing basic functions
- Compounding functions
- Using inverse functions
- Simplifying and factoring polynomials
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. 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.
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. 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.
7. 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.
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. 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.
10. 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.
11. 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.
12. 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.
13. Concave & Convex Polygons: Definition & Examples
In this lesson, we'll explore one of the main ways of classifying polygons - as convex or concave. We'll also learn how you can determine if a polygon is convex or concave.
14. Convex & Concave Quadrilaterals: Definition, Properties & Examples
Quadrilaterals are four sided polygons. This lesson defines and provides examples of both convex and concave quadrilaterals. Take a look at the quadrilateral, its sub-categories and their properties.
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Other chapters within the GRE Prep: Help and Review course
- GRE Verbal Reasoning - Reading Skills: Help and Review
- GRE Verbal Reasoning - Vocabulary Skills: Help and Review
- GRE Analytical Writing - Crafting Your Argument: Help and Review
- GRE Analytical Writing - Planning Your Essay: Help and Review
- GRE Analytical Writing - Starting Your Essay: Help and Review
- GRE Analytical Writing - Writing the Essay Body: Help and Review
- GRE Analytical Writing - Editing Your Essay: Help and Review
- GRE Analytical Writing - Writing Technique: Help and Review
- GRE Analytical Writing - Writing Stronger Sentences: Help and Review
- GRE Analytical Writing - Grammar and Usage: Help and Review
- GRE Quantitative Reasoning - Numbers and Operations: Help and Review
- GRE Quantitative Reasoning - Sequences and Series: Help and Review
- GRE - Equations and Expressions: Help and Review
- GRE - FOIL, Parabolas & Quadratics: Help & Review
- GRE Quantitative Reasoning - Exponents: Help and Review
- GRE - Rational Equations & Expressions: Help & Review
- GRE Quantitative Reasoning - Inequalities: Help and Review
- GRE Quantitative Reasoning - Plane Geometry: Help and Review
- GRE Quantitative Reasoning - Coordinate Geometry: Help and Review
- GRE - Probability & Statistics: Help & Review
- GRE Quantitative Reasoning - Sets: Help and Review