Which piece of network equipment extends the cable range and allows connections by increasing the signal strength?

A router is used to connect multiple networks and route data between them, but it does not amplify signals. Instead, it directs traffic based on IP addresses and manages network communication, serving a fundamentally different purpose from that of extending cable range through signal amplification.

A switch connects multiple devices within the same network and directs data packets between them based on MAC addresses. While it improves network efficiency and communication, it does not extend cable range or increase signal strength, as its role is confined to managing data flow within a local area network.

A firewall is primarily concerned with network security, monitoring and controlling incoming and outgoing traffic based on predetermined security rules. While it plays a vital role in protecting the network, it does not have any function related to extending cable range or amplifying signals.