Final answer:
A firewall offers the broadest protection by combining security functions like controlling network traffic, establishing secure barriers, and preventing unauthorized access to networks.
Step-by-step explanation:
Among the appliances listed, a firewall provides the broadest protection by combining several security functions. A firewall can control incoming and outgoing network traffic based on predetermined security rules, establish a barrier between a secure internal network and untrusted external networks, and prevent unauthorized access. While antivirus software specializes in preventing, detecting, and removing malware, an Intrusion Detection System (IDS) monitors network traffic for suspicious activity, and a Virtual Private Network (VPN) creates a secure connection over the internet. However, it is the firewall that often incorporates elements of these other functions to provide comprehensive network protection.