About This Chapter
Understanding Function Basics - Chapter Summary
Work through this self-paced math chapter to review basic information about functions. You'll define function terminology and notation, as well as the different types of functions. Our expert math instructors will also show you how to find the domain and range of a function. By the end of the chapter, you should be able to:
- Explain basic function terms
- Identify functions and understand function notation
- Recognize a function's domain and range
- Work with linear functions
- Differentiate between linear and non-linear functions
When you're finished working through each lesson, take the accompanying self-assessment quiz to practice solving basic function problems on your own. If you get stuck or need any clarification, you'll be able to submit questions to our instructors at any time. You can access the chapter online or print the lesson transcripts to study offline.
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. What is a Linear Function? - Definition & Examples
In this lesson, you will learn the key identifying mark of linear functions. You'll also learn how to graph them with just two points and how you can use the graph to easily find your answers.
5. How to Recognize Linear Functions vs Non-Linear Functions
In this lesson, you'll learn about two different groups of functions: linear and nonlinear. We'll cover how they look on a graph, and how you can tell them apart when they're written as equations.
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Other chapters within the Pennsylvania Algebra I Keystone Exam: Test Prep & Practice course
- Real Numbers & Expressions
- Understanding Exponential Expressions
- Working with Radical Expressions
- Understanding Absolute Value Expressions
- Estimation & Math Problem-Solving
- Solving Problems with Polynomials
- Solving, Writing & Graphing Linear Equations
- Solving Problems with Systems of Equations
- Solving & Graphing Linear Inequalities
- Using Scatter Plots
- Understanding Basic Statistics
- Interpreting & Graphing Data
- Understanding the Probability of Compound Events
- Pennsylvania Algebra I Keystone Exam Flashcards