**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.