What feature allows DHCP to simplify network administration?

Dynamic Host Configuration Protocol (DHCP) simplifies network administration primarily by assigning IP addresses automatically to hosts. This reduces the need for network administrators to manually configure IP addresses for each device on the network, which can be a time-consuming and error-prone process, especially in larger networks. DHCP allows devices to join the network seamlessly; they automatically receive their IP address along with other necessary network configuration details (such as subnet mask, default gateway, and DNS servers) when they connect. This automated process enhances efficiency and helps maintain consistent network settings across devices, decreasing the risk of IP address conflicts and ensuring effective use of available IP address space.

The other options do not contribute to DHCP's primary purpose of simplifying network administration in the same way. Manual IP address assignment, filtering traffic, and providing wireless connectivity are functionalities that do not directly correlate with the fundamental advantage of automating the assignment of IP addresses to devices in a network.