Final answer:
The device typically used when connecting to the Internet via an analog dial-up connection is a modem. Modems convert digital data into analog signals for transmission over telephone lines.
Step-by-step explanation:
When connecting to the Internet via an analog dial-up connection, the device typically used is a modem. Modems, which are short for modulator-demodulator, have been around for decades. However, they became more advanced in the 1990s with the rising popularity of the internet. Analog modems convert digital data from a computer into analog signals that can be transmitted over telephone lines, and then convert incoming analog signals back into digital data that the computer can process. The origins of the internet can be traced back to the 1960s with efforts from government researchers, but it wasn't until later years that it became widely accessible to the public, primarily facilitated by modem technology.