Learn how to label the discontinuity of a piecewise function by graphing

The video tutorial explains how to graph two lines with specific constraints and identify if the graph is continuous. The first line, y = 2x - 1, is graphed for x values less than 0, while the second line, y = -x + 3, is graphed for x values greater than or equal to 0. The tutorial highlights the concept of jump discontinuity at x = 0, where the two lines meet. The teacher emphasizes understanding the constraints and the nature of discontinuity without relying on calculators.

What are the two lines mentioned in the equation, and how do they relate to continuity?

Explain the significance of the open circle in the graph for X values less than zero.

Describe the characteristics of the graph for the equation -X + 3.

What type of discontinuity occurs at X equals zero, and why?

How do the restrictions on the functions affect the continuity of the graph?