Graphing and evaluating piecewise functions

The video tutorial covers piecewise functions, including their notation, graphing, evaluation, and continuity. It explains how to graph piecewise functions with domain constraints, evaluate them at specific points, and determine the value of K for continuity. The tutorial also addresses common student mistakes and provides an algebraic method for finding K. The session concludes with a recap and a Q&A segment.

What is a piecewise function and how is it represented?

Describe the transformations that occur when shifting a parent graph.

How do you determine the domain and range of a piecewise function?

Explain how to evaluate a piecewise function at a given point.

How do you identify discontinuities in piecewise functions?

What is the significance of the value K in making a piecewise function continuous?

What steps would you take to graph a piecewise function?