Ch 4: On Core Mathematics Algebra 1 Unit 4: Linear Functions

About This Chapter

The Linear Functions chapter of this Harcourt On Core Mathematics Companion Course aligns with the same chapter in the Harcourt On Core Mathematics textbook. These simple and fun video and text lessons are about five minutes long and help you learn the essential lessons about types of linear functions and their applications.

How It Works:

  • Find the lesson within this chapter that corresponds to what you're studying in the Linear Functions chapter of your textbook.
  • Watch fun videos that cover the mathematical concepts you need to learn or review.
  • Complete the quiz after finishing each video and text lesson to test your understanding.
  • If you need additional help, review the lessons until you've mastered the material, or submit a question for one of our instructors.

Chapter Topics

You'll learn all of the mathematics topics covered in the textbook chapter, including:

  • Discrete, continuous and inverse functions
  • The method for finding and applying the slope of a line
  • How to transform linear and absolute value functions
  • Ways to compose functions and apply function operations
  • Correlation and the correlation coefficient
  • Simple linear regression

On Core Mathematics is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

9 Lessons in Chapter 4: On Core Mathematics Algebra 1 Unit 4: Linear Functions
Test your knowledge with a 30-question chapter practice test
Discrete & Continuous Functions: Definition & Examples

1. Discrete & Continuous Functions: Definition & Examples

After this lesson, you will understand the differences between discrete functions and continuous functions. You'll learn the one criterion that you need to look at to determine whether a function is discrete or not.

How to Find and Apply The Slope of a Line

2. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

Transforming Linear & Absolute Value Functions

3. Transforming Linear & Absolute Value Functions

In this lesson, we'll find out what happens to the graph of a line when the values of the slope and y-intercept are changed in an equation. We'll also discuss what happens when you change values in the equation of an absolute value function.

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.

Applying Function Operations Practice Problems

5. 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!

Inverse Functions

6. 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.

Correlation: Definition, Analysis & Examples

7. Correlation: Definition, Analysis & Examples

Correlation describes the relationship between two sets of data. In this lesson, we'll delve into what correlation is and the different types of correlation that can be encountered.

The Correlation Coefficient: Definition, Formula & Example

8. The Correlation Coefficient: Definition, Formula & Example

The correlation coefficient is an equation that is used to determine the strength of the relationship between two variables. This lesson helps you understand it by breaking the equation down.

Simple Linear Regression: Definition, Formula & Examples

9. Simple Linear Regression: Definition, Formula & Examples

Simple linear regression is a great way to make observations and interpret data. In this lesson, you will learn to find the regression line of a set of data using a ruler and a graphing calculator.

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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