Ch 22: Graphing & Solving Functions

About This Chapter

Understanding how to graph and solve functions is easy with help from this engaging chapter. Our video and text lessons and quizzes can help you get ready to take an important exam, catch up on lost class time or complete a tough homework assignment.

Graphing & Solving Functions - Chapter Summary

In this chapter, our instructors explain how to solve and graph functions. These fun lessons cover transformations, shifting graphs on a plane, graphing reflecting functions and writing exponential functions. You'll also learn about graphing the square root of functions and finding derivatives of implicit functions. By the end of the chapter, you should also be able to:

  • Use multiplication and division of ordinates to graph
  • Solve problems involving graphing inequalities
  • Find the best method for graphing a function
  • Use graphs to solve complex real-world problems
  • Solve quadratic equations with square roots

You can study at any time you'd like on your mobile device or computer using these professionally-designed learning tools. Each lesson is accompanied by a short quiz that tests your understanding of what you've just learned. Take these lesson quizzes and the chapter test as way to see how you'd do on an upcoming exam. If you need help at any time, feel free to contact one of our instructors for assistance.

9 Lessons in Chapter 22: Graphing & Solving Functions
Test your knowledge with a 30-question chapter practice test
Transformations: How to Shift Graphs on a Plane

1. 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!

Graphing Reflecting Functions

2. Graphing Reflecting Functions

Graphing reflecting functions can come in quite handy in various situations. This lesson will explain relationships between certain functions and their graphs, and we will look at how to graph reflecting functions given one of the functions.

Writing & Graphing Exponential Functions

3. Writing & Graphing Exponential Functions

In this lesson, we will explore exponential functions and their properties. Through real world examples and explanation, we will see how to write and graph these types of functions.

Graphing Square Roots of Functions

4. Graphing Square Roots of Functions

In this lesson you will learn about the characteristics of a square root function and how to graph it. You will also examine in detail the effect the square root sign has on the independent and dependent quantities.

How to Find Derivatives of Implicit Functions

5. How to Find Derivatives of Implicit Functions

How do you define the rate of change when your function has variables that cannot be separated? Learn how implicit differentiation can be used to find dy/dx even when you don't have y=f(x)!

Determining the Best Method for Graphing a Function

6. Determining the Best Method for Graphing a Function

There are many ways to graph functions. This lesson will go over some common ways to go about this task and discuss how to determine which method is best for a given function.

Graphing Inequalities: Practice Problems

7. Graphing Inequalities: Practice Problems

If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.

Solving Quadratic Equations with Square Roots or Graphing the Function

8. Solving Quadratic Equations with Square Roots or Graphing the Function

Quadratic equations can be solved in many ways, including taking square roots and graphing the function. In this lesson, learn how to use these techniques to solve quadratic equations.

Using Graphs to Solve Complex Problems

9. Using Graphs to Solve Complex Problems

Graphing in mathematics is a way of visually representing functions in space. Just as an equation can represent and be used to solve real world problems, so may a function's respective graphical representation.

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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support