# Ch 4: Rational Expressions and Functions

Watch the following video lessons to learn how to solve and graph rational expressions and functions. Each lesson is accompanied by a short multiple-choice quiz you can use to check your understanding of these topics.

## Rational Expressions and Functions - Chapter Summary and Learning Objectives

A rational expression, also called a rational function, is a fraction with a polynomial as its numerator and denominator. The video lessons in this chapter will show you how to perform operations with rational expressions and give you practice problems to assess your skills. You'll learn to graph rational functions and analyze graphs of rational functions. At the end of this chapter, you should be able to:

• Add, subtract, multiply and divide rational expressions
• Solve a rational equation
• Understand and work with horizontal and vertical asymptotes
• Graph rational functions
• Analyze graphs of rational functions

Video Objective
How to Multiply and Divide Rational Expressions Learn to multiply and divide rational expressions.
Multiplying and Dividing Rational Expressions: Practice Problems Develop skill in multiplying and dividing rational expressions.
How to Add and Subtract Rational Expressions Learn to add and subtract rational expressions.
Adding and Subtracting Rational Expressions: Practice Problems Develop skill in adding and subtracting rational expressions.
How to Solve a Rational Equation Learn methods of solving a rational equation.
Horizontal and Vertical Asymptotes Gain an understanding of horizontal and vertical asymptotes.
Graphing Rational Functions That Have Linear Polynomials Graph rational functions that consist of two lineal polynomials.
Graphing Rational Functions That Have Polynomials of Varying Degrees Graph rational functions that consist of polynomials of varying degrees.
Analyzing the Graph of a Rational Function: Asymptotes, Domain and Range Identify asymptotes, domain and range algebraically and graphically.

7 Lessons in Chapter 4: Rational Expressions and Functions
Test your knowledge with a 30-question chapter practice test
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
More Exams
There are even more practice exams available in Rational Expressions and Functions.

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