Which of the following tasks must be performed with immediate supervision of a licensed veterinarian?

The administration of anesthesia is a critical and complex procedure that requires immediate supervision by a licensed veterinarian. This necessity stems from the fact that anesthesia involves significant risks and potential complications during the process, requiring the veterinarian's expertise to monitor the animal's vital signs and adjust the anesthetic protocol as needed.

Anesthesia also requires the ability to respond quickly to any adverse reactions or emergencies that may occur while an animal is under sedation. Given these factors, only a licensed veterinarian has the training and experience to ensure that anesthesia is administered safely and effectively.

In contrast, the other tasks mentioned, such as administering medication as directed, obtaining samples for diagnostics, and feeding animals in care, can often be performed by trained technicians or assistants under the guidance of a veterinarian but do not necessarily require the constant oversight that anesthesia demands. This delineation of responsibility ensures that animal care remains both safe and effective, with veterinary supervision tailored to the complexity and risk associated with specific procedures.