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

Firewalls serve as security devices that monitor and control incoming and outgoing network traffic based on predetermined security rules. While they protect a network from unauthorized access and threats, they do not amplify signals or extend cable range, which makes them unrelated to the function described in the question.

Routers are responsible for directing data packets between different networks. They route traffic based on IP addresses and manage data traffic but do not inherently amplify or extend signal range. Their primary function is to connect different networks rather than to extend the reach of a single network connection.

Switches operate within a local network by connecting devices and allowing them to communicate. They manage data traffic efficiently within the same network segment but do not amplify signals or increase cable range. Their role is to forward data based on MAC addresses rather than extending network coverage.