Graphing and solving for the discontinuity of a rational function

The video tutorial explains how to graph a function by identifying vertical asymptotes and simplifying the function through factoring. It highlights the importance of recognizing points of discontinuity and demonstrates how to graph the function with these points. The tutorial concludes with tips on eliminating discontinuities by factoring.

What is the first step in graphing a function according to the video?

• Simplify the function

• Find the vertical asymptote

• Check for points of discontinuity

• Find the horizontal asymptote

How can the function be simplified in the video?

• By finding the derivative

• By multiplying by a constant

• By factoring the numerator and denominator

• By adding a constant

What does the function become after simplification?

• A cubic equation

• A constant function

• A linear equation

• A quadratic equation

What happens to the vertical asymptote after simplification?

• It disappears completely

• It becomes a horizontal asymptote

• It becomes a point of discontinuity

• It remains a vertical asymptote

Why is it important to factor the function?

• To find the horizontal asymptote

• To eliminate points of discontinuity

• To simplify the graphing process

• To find the derivative