Login
Copyright

Ch 14: Graphs of Algebraic Functions

About This Chapter

Watch our video lessons to understand graphs and their role in algebra. Learn about number lines, graphing basic functions, slopes and tangents, and graphing the inverse function.

Graphs of Algebraic Functions - Chapter Summary

These video lessons show you how graphs work in algebra. Our instructors explain what a number line is and show the parts of a graph. Other lessons look at graphing basic functions, inverse functions and functions of functions.

Polynomials functions are discussed here, as are exponentials, logarithms and the natural log. You will find out about horizontal and vertical asymptotes, as well as implicit functions. After completing all the lessons in this chapter, you should be prepared to:

  • Describe a number line
  • Name parts of a graph
  • Plot points on the coordinate plane
  • Graph a variety of functions
  • Explain the properties of polynomials functions
  • Understand exponentials and logarithms
  • Describe slopes and tangents on a graph
  • Show the equation of a line using point-slope formula

Our lessons are brief and entertaining, and all include self-assessment quizzes that enable you to check what you've learned. The timeline's jump feature allows you to quickly find topics in each lesson that you need to study a bit more. The lessons are all led by instructors who are experts in the field. If you need extra help, it's easy to contact them with your questions.

12 Lessons in Chapter 14: Graphs of Algebraic Functions
What Is a Number Line?

1. What Is a Number Line?

A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.

What Are the Different Parts of a Graph?

2. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

Plotting Points on the Coordinate Plane

3. 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.

Graphing Basic Functions

4. 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.

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.

Polynomials Functions: Properties and Factoring

7. Polynomials 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.

Polynomials Functions: Exponentials and Simplifying

8. Polynomials 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.

Slopes and Tangents on a Graph

9. 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.

Equation of a Line Using Point-Slope Formula

10. 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.

Horizontal and Vertical Asymptotes

11. 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.

Implicit Functions

12. 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.

Earning College Credit

Did you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 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