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Ch 21: GRE Quantitative Reasoning: Functions

About This Chapter

Do you know how to divide functions? What about graphing them? Prep for the quantitative reasoning section of the GRE by reviewing elements of functions in this helpful chapter. Check out over 10 engaging video lessons to brush up on math skills and test your understanding with lesson quizzes and a chapter exam.

GRE Quantitative Reasoning: Functions - Chapter Summary

Become an expert in functions using these GRE review videos. Video lectures teach about areas of functions you'll need to understand to achieve a high score on the GRE's quantitative reasoning section. Functions lessons address such topics as:

  • Function operations
  • Function notation
  • Range and domain in functions
  • Composite functions
  • Inverse functions
  • Polynomials functions

Tutorials in this chapter discuss various types and uses of functions; in addition, accompanying quizzes can help you evaluate how well you've grasped the concepts. Video lessons are divided into concise summaries of discrete topics to help you absorb the material and do well on the GRE.

GRE Quantitative Reasoning Objectives

The GRE is intended to assess your preparedness for undertaking graduate study. About a third of the exam is dedicated to quantitative reasoning questions. Our functions tutorials offer instruction in areas that appear on the quantitative portion of the test. Particular topics that these lessons cover include:

  • Understanding and using function notation
  • Determining a function's domain and range
  • Formulating and interpreting compositions of functions
  • Performing arithmetical actions (multiplication, subtraction, etc.) on functions
  • Indicating functions on a graph
  • Understanding composite functions
  • Working with inverse functions
  • Using polynomials functions

The quantitative reasoning component of the GRE incorporates both multiple-choice questions and open-ended problems that require you to calculate and enter a numeric answer. Questions may engage the disciplines of geometry, data analysis, arithmetic, or algebra.

12 Lessons in Chapter 21: GRE Quantitative Reasoning: Functions
Test your knowledge with a 30-question chapter practice test
Functions: Identification, Notation & Practice Problems

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!

What Is Domain and Range in a Function?

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.

Applying Function Operations Practice Problems

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!

How to Compose Functions

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.

How to Add, Subtract, Multiply and Divide Functions

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!

Graphing Basic Functions

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.

What is a Function: Basics and Key Terms

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.

Compounding Functions and Graphing Functions of Functions

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!

Inverse 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.

Understanding and Graphing the Inverse Function

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.

Polynomial Functions: Properties and Factoring

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.

Polynomial Functions: Exponentials and Simplifying

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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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