Transact-SQL errors that cause a statement to be canceled and continue with the next statement in the module (such as triggers or stored procedures) are treated differently inside a function. In functions, such errors cause the execution of the function to stop. This in turn causes the statement that invoked the function to be canceled.
The statements in a BEGIN...END block cannot have any side effects. Function side effects are any permanent changes to the state of a resource that has a scope outside the function such as a modification to a database table. The only changes that can be made by the statements in the function are changes to objects local to the function, such as local cursors or variables. Modifications to database tables, operations on cursors that are not local to the function, sending e-mail, attempting a catalog modification, and generating a result set that is returned to the user are examples of actions that cannot be performed in a function.
The number of times that a function specified in a query is actually executed can vary between execution plans built by the optimizer. An example is a function invoked by a subquery in a WHERE clause. The number of times the subquery and its function is executed can vary with different access paths chosen by the optimizer.