How to Graph a Piecewise Function

The video tutorial explains how to graph piecewise functions by breaking down the process into steps. It covers rewriting expressions in y=mx+b form, identifying slopes and y-intercepts, and applying constraints to graph each segment. The tutorial demonstrates graphing three different lines with specific constraints, emphasizing the importance of shading only the valid parts of the graph.

What is a piecewise function and how does it differ from a standard linear function?

Explain the process of rewriting expressions in the form of y = mx + b.

How do you determine the slope and y-intercept of the equation y = -1?

What does it mean when a graph is only true for certain values of x, such as x ≤ 0?

Describe how to graph the equation y = 2x with the given constraints.

What is the significance of open and closed circles on a graph?

How do you handle the graph of y = 6 when x is greater than 3?