Understanding Rational Functions Concepts

This video tutorial introduces rational functions, focusing on understanding their domain and zeros. It explains how to identify the domain by setting the denominator to zero and finding zeros by setting the numerator to zero. The tutorial includes examples and sketches to illustrate these concepts, preparing students for more detailed graphing in future lessons.

What is the primary focus of this lesson on rational functions?

• Learning about polynomial functions

• Solving linear equations

• Understanding the domain and zeros of rational functions

• Graphing rational functions in detail

What is a rational expression?

• An expression with a polynomial numerator and denominator

• An expression with only constants

• An expression with a single variable

• An expression with no variables

Why is division by zero a problem in rational functions?

• It results in a negative number

• It is undefined and causes the function to be incalculable

• It simplifies the function

• It has no effect on the function

How do you find the zeros of a rational function?

• Set the denominator equal to zero

• Set the numerator equal to zero

• Set both numerator and denominator equal to zero

• Set the function equal to one

What is a vertical asymptote in the context of rational functions?

• A point where the function crosses the x-axis

• A point where the function equals zero

• A line where the function equals one

• A line the function approaches but never touches

In the complex rational function example, what are the zeros of the function?

• T = 2 and T = -2

• T = 1 and T = -1

• T = -3 and T = 3

• T = 0 and T = 9