Piece Wise Functions

A piece wise function is when a function has two different formulas that are both defined on the domain of f. Even though they are two different equations they are looked at as one function. They are usually used to represent the negative and the positive numbers. For example one equation usually has the restriction of x<0 and the other equation is x>0. To graph a piecewise defined function you graph each equation as you would normally and then it is either considered continuous or discontinuous. A continuous graph is when you don't have to lift your pencil when tracing the graph. A discontinuous graph is disconnected in places. Here is an example of a piecewise function problem.