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Ch 6: Introduction to Relations & Functions

About This Chapter

These lessons on relations and functions can help you with test preparation or a class project. You will review how to compose functions and examples of interval notation from a convenient online learning platform.

Introduction to Relations & Functions - Chapter Summary

In this chapter on relations and functions, interactive lessons cover key terms related to functions and practice problems for functions. Also included in this chapter is an example of a linear regression model. After completing the chapter, you should be able to:

  • Explain the basics of a function
  • Compose functions
  • Discuss conditions of mathematical functions
  • Recognize linear and non-linear functions on a graph
  • Use formulas for quadratic functions
  • Define absolute value
  • Provide examples of interval notation
  • Calculate linear regression

Each lesson in this chapter is accompanied by a full written transcript and there are quizzes to test your understanding of the concepts covered. You can print the quizzes as worksheets for use as a study tool.

8 Lessons in Chapter 6: Introduction to Relations & Functions
Test your knowledge with a 30-question chapter practice test
What is a Function: Basics and Key Terms

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.

How to Compose Functions

2. 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.

Functions: Identification, Notation & Practice Problems

3. 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!

How to Recognize Linear Functions vs Non-Linear Functions

4. 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.

Quadratic Functions: Examples & Formula

5. Quadratic Functions: Examples & Formula

Learn what sets quadratic functions apart from all other functions. Learn how you can spot a quadratic just by looking at its graph. Also learn the two formulas that will help you when working with them.

What is an Absolute Value?

6. What is an Absolute Value?

When we're talking and comparing numbers, we often don't care whether its positive or negative, just how big it is. This is often called the magnitude of a number and we find it by taking the absolute value. Learn all about it here!

Interval Notation: Definition & Examples

7. Interval Notation: Definition & Examples

This lesson defines interval notation and explains how to write sets in interval notation. It also explores the various types of intervals, including open and closed intervals.

Linear Regression Model: Definition, Equation & Example

8. Linear Regression Model: Definition, Equation & Example

Ever hear of the linear regression model? If you are confused about what linear regression is, come inside this less for an explanation, how it is used and calculated. Then test your new skills with a short quiz.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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