Which of these actions could be deemed appropriate supervision of duty hours?

Extending hours with prior approval is considered an appropriate form of supervision of duty hours because it involves obtaining permission before making any changes to an employee's scheduled hours. This action ensures that there is a clear understanding and agreement between the supervisor and the employee about the increased workload. It also demonstrates accountability and transparency in managing duty hours, which is essential for maintaining good working relationships and compliance with regulations regarding work hours.

Appropriate supervision typically requires clear communication and adherence to established policies. When hours are extended with the necessary approval, it not only respects the protocols in place but also safeguards the well-being of the employees, assuring that they are not overworked without proper justification.