Find all the asymptotes and intercepts of a rational function

The video tutorial explains how to identify vertical and horizontal asymptotes in rational functions. It emphasizes the importance of factoring to find vertical asymptotes and holes, noting that a hole occurs when a factor cancels out. The tutorial also covers horizontal asymptotes, determined by comparing the degrees of the numerator and denominator. It explains that if the degree of the denominator is greater, the horizontal asymptote is y = 0. The video further discusses finding X and Y intercepts, highlighting that a hole at an X intercept means it doesn't exist. Finally, it explains that dividing by zero results in no Y intercept.

Why is there no X intercept at X = 3?

What happens when you try to find the Y intercept by plugging in X = 0?