Which one of the following functions would be responsible for the management of a data centre?

Technical management manages technical knowledge and specialist resources such as servers and networks, not the physical data centre facility itself.

The service desk is the single point of contact between IT and users for handling incidents and requests, not for managing physical infrastructure.

Application management is responsible for managing applications throughout their lifecycle, not for overseeing physical data centre facilities.

Facilities management is the ITIL function that oversees the physical environment supporting IT services, including data centres, power supplies, cooling systems, and building access control. It ensures the physical infrastructure is available, secure, and properly maintained. This is explicitly defined in the ITIL Service Operation publication as one of the four main ITIL functions.