Ch 19: Graphs & Relations

About This Chapter

Strengthen your understanding of different types of graphs and how to use them with this chapter. These lessons can be used a resource for math class preparation or to study for grade assessment or college admissions or placement exams.

Graphs & Relations - Chapter Summary

This short but detailed chapter provides instructions on how to create and use graphs for data analysis and problem-solving purposes. You'll develop a better understanding of why graphs are used and how to apply them to real life situations. Each lesson contains examples and illustrations to enhance your review of this material and improve your understanding of these topics. Once you have gone over each of the lessons found in this chapter, you should be able to:

  • Interpret straight-line and line segment graphs
  • Define step functions and understand how to graph them
  • Solve systems of equations
  • Find the breakeven point using systems of linear equations
  • Apply non-linear functions in the real world
  • Describe the use of non-linear graphs and understand interpolation and extrapolation
  • Identify the constant of proportionality and use graphing to determine it

Experienced math instructors deliver this material in a simple and engaging manner to make it easily accessible for learners of all levels. You can watch or read lessons at any time, on any device, and even print out transcripts to create handy reference tools. Measure how much you have retained by taking self-assessment quizzes at the end of each lesson.

8 Lessons in Chapter 19: Graphs & Relations
Test your knowledge with a 30-question chapter practice test
Creating & Interpreting Straight-Line & Line Segment Graphs

1. Creating & Interpreting Straight-Line & Line Segment Graphs

Straight-line graphs and line segment graphs are very useful in many different fields. In this lesson, we will explore how to create line graphs and how to interpret the meaning of these graphs.

How to Graph Step Functions

2. How to Graph Step Functions

In this lesson, we'll learn the definition of a step function and two of its family members: floor functions and ceiling functions. We'll then look at how to graph step functions using two real world examples.

Solving a System of Equations with Two Unknowns

3. Solving a System of Equations with Two Unknowns

When you have two variables and two equations, is solving the problem four times as hard? No! Not when you use the substitution or elimination method to solve systems of equations. We'll practice both in this lesson.

Applying Systems of Linear Equations to Breakeven Point: Steps & Example

4. Applying Systems of Linear Equations to Breakeven Point: Steps & Example

Businesses use breakeven points to determine price and sell products. Learn how to use systems of linear equations with revenue and cost functions to find the breakeven point.

Using Nonlinear Functions in Real Life Situations

5. Using Nonlinear Functions in Real Life Situations

In this lesson, we will define non-linear functions and look at examples of non-linear functions being used in real-world situations. We will also touch on determining which non-linear function is best to use in different real-world scenarios.

Modeling With Nonlinear Graphs

6. Modeling With Nonlinear Graphs

Graphical depictions of functions serve as a means of conceptualizing (aiding in understanding) a plethora of mental constructs in physical science. Non-linear functions are used to represent a variety of phenomena, like those relating to motion for instance. A straight-forward example of such a non-linear function and its graph will be presented.

Identifying the Constant of Proportionality

7. Identifying the Constant of Proportionality

Constants of proportionality might sound like something complicated, but chances are, you've encountered them before. In this lesson, we'll explore the constant of proportionality and how to find it.

Using Graphs to Determine the Constant of Proportionality

8. Using Graphs to Determine the Constant of Proportionality

Because the constant of proportionality only exists for linear relationships, you can use the graph of a proportional relationship to figure out what your constant of proportionality is. Learn how in this lesson.

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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