Graphing Piecewise-Defined Functions

This video tutorial teaches how to graph piecewise-defined functions by graphing each function and restricting the domain. It covers graphing horizontal lines, inequalities, step functions, and complex piecewise functions. The tutorial also explains how to evaluate piecewise functions for specific x values, understand their domain and range, and address common misunderstandings. Additionally, it demonstrates how to express the absolute value function as a piecewise function.

Describe the process of graphing inequalities on a number line.

Explain how to graph a function that involves more than one equation.

What is a step function and how is it graphically represented?

What are the restrictions when graphing the function f of x equals zero for x is less than zero?

How do you evaluate f of x for specific values, such as f of four?

What is the domain and range of the piecewise-defined function discussed?

How can the absolute value function be expressed as a piecewise-defined function?