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 is the y-intercept of the line y = 2x - 1?

• 1

• -1

• 0

• 2

For which x values is the line y = 2x - 1 graphed?

• x > 0

• x = 0

• x ≥ 0

• x < 0

What is the slope of the line y = -x + 3?

• 1

• -1

• 3

• 0

What type of discontinuity occurs at x = 0 for the given functions?

• Removable Discontinuity

• Infinite Discontinuity

• Point Discontinuity

• Jump Discontinuity

Where does a jump discontinuity typically occur in continuous functions?

• At the origin

• At the slope change

• At the y-intercept

• At the restriction change