To function properly, an Enterprise Manager device is required within each data center.

This is incorrect because Enterprise Manager uses network-based communication to manage BIG-IP devices remotely, and one instance can span multiple geographic locations without requiring local presence in each data center.

Enterprise Manager communicates with BIG-IP devices via IP-based management protocols and does not need to be physically co-located in each data center. A single Enterprise Manager instance can reach and manage devices in remote locations as long as network connectivity exists, meaning one per data center is not a requirement.