Ch 17: CEOE Advanced Math: Graphing Functions

About This Chapter

Use this chapter to brush up on graphing and interpreting graphs of functions, solving problems with functions and working with parabolas to prepare for related questions on the CEOE Advanced Math exam.

CEOE Advanced Math: Graphing Functions - Chapter Summary

As you prepare for the Certification Examinations for Oklahoma Educators (CEOE) Advanced Mathematics exam, you'll get to strengthen your knowledge on graphing functions by completing this chapter. You will come across a series of video lessons that will help you to correctly respond to items involving:

  • The process of graphing functions by plotting points
  • How to tell if a function is linear, increasing, decreasing, positive or negative
  • Finding the slope and intercepts of lines and using the point-slope formula
  • Solving problems using the distance formula
  • Using the midpoint formula
  • Standard, intercept and vertex forms of parabolas
  • Graphing the inverse function
  • Composite functions

These lessons are taught by our professional instructors who are also available to answer any question you may have about these topics via the Teacher tabs of each lesson. These lessons are compatible with Internet-ready mobile devices so that you can still study when you are away from your computer. After you've watched these lessons you can reinforce your retention of the information presented in them by reading the accompanying lesson transcripts.

11 Lessons in Chapter 17: CEOE Advanced Math: Graphing Functions
Test your knowledge with a 30-question chapter practice test
Graph Functions by Plotting Points

1. 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.

Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

2. Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

Functions do all kinds of fun things. In this lesson, learn how to identify traits of functions such as linear or nonlinear, increasing or decreasing and positive or negative.

How to Find and Apply The Slope of a Line

3. 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.

How to Find and Apply the Intercepts of a Line

4. How to Find and Apply the Intercepts of a Line

How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.

Equation of a Line Using Point-Slope Formula

5. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

How to Use The Distance Formula

6. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

How to Use The Midpoint Formula

7. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

What is a Parabola?

8. What is a Parabola?

A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.

Parabolas in Standard, Intercept, and Vertex Form

9. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

Understanding and Graphing the Inverse Function

10. Understanding and Graphing the Inverse Function

If you use a function to map a to b, is there a way to go back from b to a again? Learn how to find and graph inverse functions so that you can turn a into b and back into a.

Compounding Functions and Graphing Functions of Functions

11. Compounding Functions and Graphing Functions of Functions

We know that functions map numbers to other numbers, so what happens when you have a function of a function? Welcome to functions within functions, the realm of composite functions!

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.
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Other Chapters

Other chapters within the OSAT Advanced Mathematics (CEOE) (111): Practice & Study Guide course

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