How to graph a rational function with a hole

The video tutorial covers the process of factoring trinomials and identifying discontinuities in functions, specifically focusing on holes and asymptotes. It explains how to graph functions with holes, determine the domain and range, and explore limits and continuity at points of discontinuity. The tutorial emphasizes understanding the difference between holes and vertical asymptotes and how these affect the graph of a function.

What does it mean when a discontinuity divides out in a function?

What is the significance of a vertical asymptote in a rational function?

How do you determine the location of a hole in a function?

Explain how to find the Y-intercept of a function.

What is the domain of the function discussed, and why is it important?

Describe the process of finding limits as X approaches a specific value.

What happens to the function value as X approaches the hole at X = -3?