Identifying Holes in Graphs: Investigating Functions

This video tutorial explains how to identify holes in functions by examining their graphs. It covers the concept of asymptotes and how they indicate where a function is undefined. The tutorial differentiates between holes and asymptotes, showing how to factor and simplify functions to identify these features. It addresses common misunderstandings in graphing functions and provides an example of factoring and graphing a function with a hole. The lesson concludes with a summary of the key points covered.

Describe the process of factoring a function to identify holes.

In the function Y = (X^3 - X) / (X - 1), what happens when you factor the numerator?

Why is it important to remember that X cannot equal 1 in the function Y = (X^3 - X) / (X - 1)?