How Do I Solve Piecewise Functions?

Piecewise functions are solved by graphing the various pieces of the function separately. This is done because a piecewise function acts differently at different sections of the number line based on the x or input value.

The function should be analyzed to determine the nature of the various pieces.

Step 1: Determine the value

Determine the value where x will be equal for all the pieces. This will be the dividing line between the different lines that represent the various pieces.

Step 2: Graph

Graph the various pieces in their own area of the number line.

Step 3: Solve

Solve for specific values by locating them on the graph.