In Swift, functions that can produce errors are marked with 'throws'. When you call these functions, you must use 'try' to acknowledge the possibility of an error. The call is usually inside a 'do-catch' block to handle errors gracefully. If the function runs without error, it returns a value. If it throws an error, the catch block runs. This prevents the program from crashing and lets you respond to problems. The execution table shows calling the function with a positive number returns a message, while calling it with a negative number throws an error that is caught and handled.