How to determine and label if a piecewise function is continuous or not

The video tutorial explains how to graph piecewise functions, focusing on the absolute value of X + 1 and the horizontal line Y = -1. It covers graph transformations, constraints, and domain exceptions, emphasizing the importance of understanding graph continuity and identifying holes. The tutorial guides students through using graphing calculators and manual graphing techniques to visualize these functions.

What is a piecewise function primarily concerned with?

• Combining multiple functions into one

• Graphing only linear functions

• Using only absolute value functions

• Ignoring constraints on the domain

How is the V-shaped graph transformed in the given piecewise function?

• Shifted 2 units to the right

• Shifted 1 unit to the left

• Shifted 1 unit down

• Shifted 3 units up

What type of line is represented by the equation y = -1 in the graph?

• Curved line

• Horizontal line

• Diagonal line

• Vertical line

What happens to the graph at x = 3?

• It intersects the y-axis

• It is continuous

• It has a hole

• It becomes a vertical line

How is the continuity of the graph described?

• It has a hole

• It has a jump discontinuity

• It is continuous everywhere

• It is undefined