Starting with a classic piecewise defined function equation, do not forget that some questions will represent a word problem. As a rule, it often makes things complex because a piecewise defined function solver alone cannot handle it all. The only solution that will help you find answers to your questions based on such an algebraic equation is the use of logic. Consider taking a look at various piecewise defined function questions and see how these are always transformed from a word problem to a graph or an equation. This transformation is the key to a successful understanding of functions.