Define each rule for a specific interval or condition
Use different expressions for different parts of the domain
State the domain restrictions clearly with inequalities
Make sure the intervals do not overlap unless intended
Cover all required input values in the domain
Use the correct function notation, such as f(x) =
Place each rule on a separate line or in a separate case
Include boundary values carefully with open or closed endpoints
Check that the function is well-defined at every point
Verify continuity if the problem requires it
Use braces or a piecewise format to organize the rules
Match each expression to its corresponding interval
Simplify each rule before finalizing the function
Test sample values from each interval to confirm correctness