The method which offers higher speeds of I/O transfers is ___________

A modem connects your home network to your internet service provider, or ISP. A modem transmits data by modulating one or more carrier wave signals to encode digital information, while the receiver demodulates the signal to recreate the original digital information. The goal is to produce a signal that can be transmitted easily and decoded reliably.
A router lets all of your wired and wireless devices use that internet connection at once and allows them to talk to one another directly.