Final answer:
SLAAC is the service that provides dynamic global IPv6 addressing to end devices without using a server that keeps a record of available IPv6 addresses.
Step-by-step explanation:
The service that provides dynamic global IPv6 addressing to end devices without using a server that keeps a record of available IPv6 addresses is SLAAC, which stands for Stateless Address Autoconfiguration.
SLAAC allows devices to generate their IPv6 addresses automatically by using the prefix provided by the network and their own unique interface identifier.
This method is widely used in IPv6 networks as it doesn't require a central server to allocate addresses, making it more scalable and efficient.