How to label the discontinuities and domain of rational function

The video tutorial covers various factoring techniques, including factoring the greatest common factor (GCF) and the difference of squares. It explains how to simplify expressions and identify discontinuities such as holes and asymptotes. The tutorial also discusses determining the domain of a function with discontinuities, providing a comprehensive understanding of these mathematical concepts.

What is the first step in factoring the numerator in the given expression?

• Use the quadratic formula

• Identify the difference of two cubes

• Factor out the greatest common factor

• Complete the square

Which method is used to factor the expression when no common factors are present?

• Quadratic formula

• Completing the square

• Sum of cubes

• Difference of two squares

What is the purpose of factoring out a negative in the expression?

• To eliminate the variable

• To simplify the expression for easier factoring

• To change the sign of the entire expression

• To convert it into a quadratic equation

What are the two types of discontinuities identified in the expression?

• Intercepts and horizontal asymptotes

• Vertical asymptotes and intercepts

• Horizontal asymptotes and holes

• Holes and vertical asymptotes

What is the domain of the function after considering the discontinuities?

• Negative infinity to positive infinity

• Negative infinity to -3, union -3 to 3, union 3 to infinity

• Negative infinity to 3, union 3 to infinity

• Negative infinity to -3, union 3 to infinity