Evaluate the limit of a piecewise function by graphing

The video tutorial explains how to graph piecewise functions, specifically y = 1 and y = 0, with constraints. It demonstrates how to identify and graph these functions separately and then combine them. The tutorial also covers the concept of limits, particularly as x approaches 2, and highlights the difference between the limit of a function and its actual value at a point. The instructor emphasizes understanding the graphical representation and the importance of distinguishing between limits and function values.

What are the two different functions represented in the piecewise function discussed?

How do you graph the function y = 1 with the constraint that x cannot equal 2?

What is the significance of the hole in the graph when x equals 2?

What value does the graph approach as x gets closer to 2 from the left?

Explain the difference between the value of the function at x = 2 and the limit as x approaches 2.