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.