Excluded Values and Rational Functions

The video tutorial explains how to find excluded values in rational functions. Excluded values are those that make the denominator zero, rendering the expression undefined. The process involves identifying the denominator, setting it not equal to zero, and solving for x. The tutorial covers basic examples, factoring techniques, and complex trinomials to determine excluded values.

What is an excluded value in the context of rational functions?

• A value that makes the numerator zero

• A value that makes the denominator zero

• A value that makes the function positive

• A value that makes the function negative

Why is it important to identify excluded values in rational functions?

• To find the maximum value of the function

• To avoid division by zero

• To simplify the function

• To ensure the function is always positive

What is the first step in solving for excluded values in a rational function?

• Add the numerator and denominator

• Multiply the numerator and denominator

• Set the denominator equal to zero

• Set the numerator equal to zero

What is the first step in solving for excluded values in a rational function?

• Set the numerator equal to zero

• Set the denominator equal to zero

• Multiply the numerator and denominator

• Add the numerator and denominator

In the first example, what is the excluded value for the function with the denominator 5x?

• x = 5

• x = 0

• x = 1

• x = -5

What happens if you substitute the excluded value back into the function?

• The function becomes positive

• The function becomes zero

• The function becomes undefined

• The function becomes negative

In the expression 5x, what operation is used to solve for the excluded value?

• Addition

• Subtraction

• Division

• Multiplication

In the expression 5x, what operation is used to solve for the excluded value?

• Addition

• Subtraction

• Division

• Multiplication

In the second example, what is the excluded value for the function with the denominator x + 8?

• x = 1

• x = -8

• x = 8

• x = 0

What is the result of substituting the excluded value into the denominator x + 8?

• The denominator becomes one

• The denominator becomes positive

• The denominator becomes negative

• The denominator becomes zero