Master How to determine the x and y intercepts of a rational function

The video tutorial explains how to find the X and Y intercepts of rational functions. It begins with a simple rational equation and progresses to more complex functions, highlighting patterns and techniques for finding intercepts. The tutorial emphasizes the importance of setting Y to zero for X intercepts and X to zero for Y intercepts, and it provides examples to illustrate these concepts. Advanced techniques, such as factoring and using the quadratic formula, are also discussed.

What is the importance of understanding the behavior of rational functions at their intercepts?

Explain the concept of the discriminant in relation to finding intercepts.

How do you handle cases where the rational function has imaginary intercepts?

What steps would you take if the rational function cannot be factored easily?