Master Graphing Piecewise Functions

The video tutorial explains how to graph piecewise functions, which are functions composed of multiple sub-functions, each with its own domain. The instructor demonstrates graphing techniques for linear and quadratic functions, emphasizing the importance of understanding constraints and using open or closed circles to indicate domain boundaries. The tutorial also covers how to combine these graphs into a single piecewise function while ensuring the graph passes the vertical line test.

Why might students find piecewise functions confusing?

How do you determine which part of a piecewise function to graph?

What does it mean when a function is defined for X values less than or equal to a certain number?

What is the role of the vertical line test in determining if a graph represents a function?