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Ch 15: Algebra II: Graphing Polynomial Functions

About This Chapter

With these lessons, students can learn more about the tools they will need to graph polynomial functions. Working with this chapter can help students study for upcoming exams, prepare for discussions in class, and earn higher grades.

Algebra II: Graphing Polynomial Functions - Chapter Summary

High school students need to read and understand a great deal of information both before they graduate and as they move on in college or the professional world. This chapter provides students with focused training on graphing polynomial functions.

Instead of an endless chapter of information, the chapter has been divided into short, individualized lessons. Students have the option to review all of the lessons in order, but they can also pick and choose lesson topics in which they need the most assistance. The chapter menu provides a list of all lessons available, and since each lesson is only focused on a single topic, students can easily find what they need. After completing this chapter, students will be ready to:

  • Outline the properties of polynomial functions
  • Explain factoring, exponentials and simplifying with relation to polynomial functions
  • Find the equation of a line using the point-slope formula
  • Describe implicit functions
  • Discuss compounding functions and graph functions of functions
  • Understand and graph the inverse function
  • Graph y=sqrt(x)
  • Define slopes, tangents, and horizontal and vertical asymptotes

9 Lessons in Chapter 15: Algebra II: Graphing Polynomial Functions
Test your knowledge with a 30-question chapter practice test
Polynomial Functions: Properties and Factoring

1. Polynomial Functions: Properties and Factoring

Everything from projectile motion to trigonometric functions can be described by polynomials. Review factoring, polynomials and quadratic functions in this lesson.

Polynomial Functions: Exponentials and Simplifying

2. Polynomial Functions: Exponentials and Simplifying

How do we keep track of a rapidly multiplying population of bunnies? Well, those are simply powers of 2. Review powers and simplify problems with exponents in this lesson.

Equation of a Line Using Point-Slope Formula

3. 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.

Implicit Functions

4. Implicit Functions

Sometimes inputting a variable into a function 'black box' doesn't yield a simple output. Find out what happens when you can't isolate the dependent variable on one side of the equal sign.

Compounding Functions and Graphing Functions of Functions

5. 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!

Understanding and Graphing the Inverse Function

6. 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.

How to Graph y=sqrt(x)

7. How to Graph y=sqrt(x)

This lesson will show us how to graph the square root function y=sqrt(x). We will look at some of the function's properties, how this graph behaves, and two different ways to go about graphing the function.

Slopes and Tangents on a Graph

8. Slopes and Tangents on a Graph

Hit the slopes and learn how the steepness of a line is calculated. Calculate the slopes between points and draw the tangents of curves on graphs in this lesson.

Horizontal and Vertical Asymptotes

9. Horizontal and Vertical Asymptotes

No matter how hard you try to get to them, asymptotes remain out of reach. Learn about these invisible lines on graphs that show you places your equations just can't go.

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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