About This Chapter
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.
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.
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Other chapters within the GRE Test: Practice & Study Guide course
- GRE: About the Test
- GRE Verbal Reasoning: About the Verbal Reasoning Section
- GRE Verbal Reasoning: Reading Skills
- GRE Verbal Reasoning: Vocabulary Skills
- GRE Analytical Writing: About the Analytical Writing Measure
- GRE Analytical Writing: Crafting Your Argument
- GRE Analytical Writing: Planning Your Essay
- GRE Analytical Writing: Starting Your Essay
- GRE Analytical Writing: Writing the Essay Body
- GRE Analytical Writing: Editing Your Essay
- GRE Analytical Writing: Writing Technique
- GRE Analytical Writing: Writing Stronger Sentences
- GRE Analytical Writing: Grammar and Usage
- GRE Quantitative Reasoning: About the Quantitative Reasoning Section
- GRE Quantitative Reasoning: Numbers and Operations
- GRE Quantitative Reasoning: Fractions, Decimals & Mixed Numbers
- GRE Quantitative Reasoning: Sequences and Series
- GRE Quantitative Reasoning: Equations and Expressions
- GRE Quantitative Reasoning: Factoring with FOIL, Graphing Parabolas and Solving Quadratics
- GRE Quantitative Reasoning: Exponents & Roots
- GRE Quantitative Reasoning: Rational Equations and Expressions
- GRE Quantitative Reasoning: Inequalities
- GRE Quantitative Reasoning: Practical Applications
- GRE Quantitative Reasoning: Plane Geometry
- GRE Quantitative Reasoning: Coordinate Geometry
- GRE Quantitative Reasoning: Probability and Statistics
- GRE Quantitative Reasoning: Interpreting Statistical Data
- GRE Quantitative Reasoning: Sets
- GRE Flashcards
- GRE Test Flashcards