A:Answer If you are viewing Motorola - Dual-Band AC1900 Router with 16 x 4 DOCSIS 3.0 Cable Modem - Black then:
Century link requires a phone jack in order for it do connect to the internet. This use a coaxial connection to connect. The Coaxial connection is used for any cable company, IE: Xfinity, Time Warner Cable, etc.
Century link is not a cable company, and so this will not work with their services.
Also, avoid non-cable and non-fiber based companies, they can't offer as fast as speeds, and charge more for less.