When a rational function has no vertical asymptotes

The video tutorial explains how to identify vertical asymptotes in rational functions by focusing on non-removable discontinuities where the denominator equals zero. It highlights that vertical asymptotes occur when the function is undefined for real numbers. In this problem, solving the equation results in imaginary numbers, indicating no vertical asymptote exists for real numbers.

What is the significance of the domain in relation to vertical asymptotes?

Why is there no vertical asymptote for the function discussed in the text?