The committee is authorized to make rule governing its own proceedings and to create subcommittees from its membership and assign to such subcommittees any study, inquiry, investigation, or hearing which the committee itself has authority to undertake or hold. The provisions of Rule 36 of the Joint Rules of the Senate and Assembly relating to investigating committees shall apply to the committee and it shall have such powers, duties and responsibilities as the Joint Rules of the Senate and Assembly shall from time to time prescribe, and all the powers conferred upon committees by Section 11, Article IV, of the Constitution.