Evaluating the limit of piecewise functions

The video tutorial explains how to evaluate limits for piecewise functions, focusing on a specific example where a function has a hole at X = 1. The instructor demonstrates how to visualize the graph of the function, which is a parabola with a shift, and explains the concept of a hole in the graph. The tutorial emphasizes understanding the limit as X approaches the hole and determining the function's value at that point. The lesson concludes with a summary of the graphical approach to evaluating limits.

What does the graph of the function look like?

Describe the behavior of the graph at X = 1.

What is the significance of the hole in the graph at X = 1?

What is the value of the function at F of one?

Explain how to determine the limit as X approaches one.