How to find and identify the discontinuities of a rational function

The video tutorial explains how to identify discontinuities in a function by setting the denominator to zero. It covers solving equations to find where the function is undefined and discusses the types of discontinuities, such as holes and asymptotes. The tutorial also explains how to determine the domain of the function and its intervals.

What is the first step in identifying discontinuities in a function?

• Set the numerator equal to zero

• Set the denominator equal to zero

• Multiply the numerator and denominator

• Add the numerator and denominator

Which of the following is a type of discontinuity?

• Hole

• Slope

• Vertex

• Intercept

How can you determine if a discontinuity is a hole or an asymptote?

• By simplifying both the numerator and the denominator

• By adding the factors

• By checking if the numerator is zero

• By multiplying the factors

What is the domain of the function discussed in the video?

• Negative infinity to 0

• 0 to infinity

• Negative infinity to -4, union -4 to -2, union -2 to infinity

• Negative infinity to positive infinity

Why is it important to write down notes according to the video?

• To complete homework assignments

• To avoid using graphing calculators

• To memorize the entire video

• To skip the next slide