What is the function of a Router in a network?

The function of a router in a network is to direct data traffic from one network to another. Routers serve as intermediaries that manage the flow of information between different networks, enabling them to communicate with each other. When data packets are sent from one device to another, the router determines the best path for these packets to take, ensuring they arrive at their destination efficiently and accurately. This routing process is essential for the functionality of the Internet and other networks, as it connects various segments of networks and directs traffic based on factors such as network congestion, distance, and the specific protocols in use.

While the other options present tasks important in networking, they don't encapsulate the primary role of a router. Protecting data integrity is typically managed by firewalls and encryption protocols; storing centralized applications is a function of servers or cloud services; monitoring network performance usually involves using specialized tools and software, not the core function of a router. Hence, the identification of routing as the key role of a router correctly highlights its significance in facilitating robust and effective network communication.