Final answer:
The statement is true; a dispatcher/telecommunicator does monitor fire units' statuses and logs all emergency activities for a fire department.
Step-by-step explanation:
The statement that a dispatcher/telecommunicator continually monitors the status of fire units and logs all departmental emergency activity is true. Dispatchers, also known as telecommunicators, play a crucial role in the operations of a fire department. They are responsible for managing communication needs and tracking the location and status of fire units during emergencies. Dispatchers ensure that fire personnel are informed and can respond effectively to calls for service. Moreover, they maintain records of all communications and incidents, which is vital for incident management and after-action reports.