Which component helps in extending the range of a signal through either twisted pair or fiber optic cable?

The correct choice is extenders. Extenders are specifically designed to enhance the reach of audio and video signals transmitted over twisted pair or fiber optic cables. They work by amplifying the signal, thereby allowing it to travel longer distances without degradation. This is crucial in AV applications where maintaining signal integrity over greater distances is essential for optimal performance.

Repeaters can also extend signal range, but they typically work by regenerating the signal rather than extending it over such a wide range as extenders do specifically for AV signals on twisted pair and fiber. Converters are used to change the signal format or protocol, and switchers allow you to route signals from multiple sources to multiple displays but do not extend the physical distance of a signal. Hence, extenders are the most appropriate choice when it comes to extending the range of signals efficiently in AV setups.