The Members of the Board of Adjustment duly appointed pursuant to Ordinance No. 850212A and holding office on the effective date of Ordinance No. 951107 shall have the authority and shall serve the functions and purposes provided in this subchapter of the Land Development Code. The term of office of each member of the Board of Adjustment holding office on the effective date of Ordinance No. 951107 shall continue for the duration of the original term unless earlier terminated in accordance with this Division of the Land Development Code or applicable law. The Board of Adjustment shall exercise such functions and duties and shall have such authority as is provided in Tex. Loc. Gov't Code Chapter 211, as amended from time to time.