Final answer:
Members of the Domain Archaea include extreme halophiles, methanogens, and thermophiles, which means all of the listed options (a, b, c) are correct.
Step-by-step explanation:
Taxonomists classify living organisms into three domains: Bacteria, Archaea, and Eukarya. Members of the Domain Archaea are single-celled prokaryotic organisms that lack a nucleus and often live in extreme environments. From the list provided, all of the descriptions (a) Extreme halophiles, (b) Methanogens, and (c) Thermophiles are correct descriptions of members of the Domain Archaea. These include salt-loving, methane-producing, and heat-loving archaea, respectively.