Ch 9: Honors Algebra 1: Properties of Functions

About This Chapter

This chapter will help you analyze and compare the properties of functions. Explore these lessons to develop your understanding of functions and the role they play in algebra.

Honors Algebra 1: Properties of Functions - Chapter Summary and Learning Objectives

The properties of functions are broken down in this chapter. Dissect each property to make sure you completely understand it with these video lessons. You can study these topics to increase what you know about:

  • Basic information about functions
  • How basic functions are graphed
  • Shifting graphs on a plane
  • Algebraic operations performed on functions
  • The domain and range of a function
  • Composing functions
  • Uses for inverse functions
  • Function operations

Video Objective
What is a Function: Basics and Key Terms Evaluate the importance of functions, as well as the terms associated with them.
Graphing Basic Functions Focus on how to read and use graphs.
Transformations: How to Shift Graphs on a Plane Develop an understanding of transformations.
How to Add, Subtract, Multiply and Divide Functions Evaluate how to perform algebraic operations on functions.
What Is Domain and Range in a Function? Analyze the steps for determining domain and range in a function.
How to Compose Functions Assess the process for composing functions.
Inverse Functions Consider inverse functions and determine if they exist.
Applying Function Operations Practice Problems Test your ability to apply function operations.

8 Lessons in Chapter 9: Honors Algebra 1: Properties of 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.

Graphing Basic Functions

2. 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.

Transformations: How to Shift Graphs on a Plane

3. Transformations: How to Shift Graphs on a Plane

What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!

How to Add, Subtract, Multiply and Divide Functions

4. 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!

What Is Domain and Range in a Function?

5. 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.

How to Compose Functions

6. 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.

Inverse Functions

7. 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.

Applying Function Operations Practice Problems

8. 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!

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.
Not Taken

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Other Chapters

Other chapters within the Honors Algebra 1 Textbook course

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