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Ch 4: Glencoe Algebra 1 Chapter 4: Graphing Relations and Functions

About This Chapter

The Graphing Relations and Functions chapter of this Glencoe Algebra 1 Textbook Companion Course helps students learn essential algebra lessons of graphing relations and functions. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Graphing Relations and Functions textbook chapter.

How it works:

  • Identify the lessons in the Glencoe Algebra 1 Graphing Relations and Functions chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the graphing relations and functions topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • The coordinate plane and Cartesian coordinate system
  • Transformations and translation
  • Relations and inverse relations
  • Graphs of basic functions and solutions for simple linear equations
  • Graphs of linear equations
  • Function identification and notation
  • Function properties
  • Arithmetic sequences
  • Deductive and inductive reasoning
  • Equation recognition using patterns

Glencoe is a registered trademark of McGraw-Hill Education, which is not affiliated with Study.com.

15 Lessons in Chapter 4: Glencoe Algebra 1 Chapter 4: Graphing Relations and Functions
Test your knowledge with a 30-question chapter practice test
Plotting Points on the Coordinate Plane

1. Plotting Points on the Coordinate Plane

If you'll be working with a graph, otherwise known as the coordinate plane, it's essential to understand how it works. This includes learning the parts of a graph, identifying points and plotting points.

The Cartesian Coordinate System: Plotting Points & Graphing Lines

2. The Cartesian Coordinate System: Plotting Points & Graphing Lines

Watch this video lesson to see how useful the Cartesian coordinate system is. Learn how points are labeled and how you can plot points and graph lines using the system.

Transformations in Math: Definition & Graph

3. Transformations in Math: Definition & Graph

In geometry, transformation refers to the movement of objects in the coordinate plane. This lesson will define and give examples of each of the four common transformations and end with a quiz to make sure you are moving in the right direction.

What is Translation in Math? - Definition, Examples, & Terms

4. What is Translation in Math? - Definition, Examples, & Terms

In mathematics, translation refers to moving an object without changing it in any other way. This lesson will describe how to translate an object and give some examples. A quiz will follow to test your knowledge.

Describing the Relationship between Two Quantitative Variables

5. Describing the Relationship between Two Quantitative Variables

In this video lesson, you will learn about quantitative variables, what they are, and how one variable relates to another. You will learn why this is important and why it can sometimes even save lives.

Graphing Basic Functions

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.

Graph Functions by Plotting Points

7. Graph Functions by Plotting Points

Let's say you have a function. What does it look like? How do you graph it? In this lesson, we'll learn how to graph functions by determining and plotting points.

What is a Function: Basics and Key Terms

8. 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.

Functions: Identification, Notation & Practice Problems

9. 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!

What is a Function? - Applying the Vertical Line Test

10. What is a Function? - Applying the Vertical Line Test

Equations come in all shapes and sizes. Trying to determine which equations are functions can be difficult. You can apply the vertical line test to a graph to quickly tell whether or not it is a function.

Compare Properties of Functions Algebraically

11. Compare Properties of Functions Algebraically

In this lesson, we will explore algebraic and numeric properties and the evaluation of functions. We'll demonstrate function evaluations and the idea that every element of the domain has a unique element in the range.

Compare Properties of Functions Graphically

12. Compare Properties of Functions Graphically

In this lesson, we will cover the characteristics of graphs of functions. We will employ the vertical line test and understand why some graphs do not qualify as functions.

How to Find and Classify an Arithmetic Sequence

13. How to Find and Classify an Arithmetic Sequence

Arithmetic sequences are everywhere, and with a few tricks you learn here, you could end up looking like a psychic the next time you go to a movie or a football game!

How and Why to Use the General Term of an Arithmetic Sequence

14. How and Why to Use the General Term of an Arithmetic Sequence

Watch this video lesson to learn the formula for the general term of an arithmetic sequence. Also learn why this formula makes working with an arithmetic sequence much easier.

Inductive & Deductive Reasoning in Geometry: Definition & Uses

15. Inductive & Deductive Reasoning in Geometry: Definition & Uses

Watch this video lesson, and you will learn how important inductive and deductive reasoning is in the field of mathematics, especially when dealing with proofs in geometry. Learn how these two fundamental forms of reasoning give rise to formal theorems.

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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