I found the answer to my question. It was on the TASO website. (I found the by-laws finally.)
For those who would like the answer: (from the by-laws)
g. Duties.
President: The President shall preside at all meetings of the Division and the Division Board; appoint committees as needed and act as liaison between the Division, TASO and other TASO divisions; conduct all negotiations on behalf of the District with the Executive Director or his/her designee; and further the policies adopted by the District.
President-elect: In the absence or disqualification of the President, the President-elect of the basketball, football, and soccer divisions shall assume the responsibilities of the President.
Vice President: In the absence or disqualification of the President, the Vice President of the baseball, softball, and soccer divisions shall assume the responsibilities of the President. The Vice President of all divisions shall chair all standing committees but may delegate this authority while maintaining responsibility for the performance of the committees; act as liaison between committees and the Division Board; perform the duties of President in the absence or disqualification of the President; and perform all duties usually incident to the office of Vice President or which may be required by the President, the Division Board, or other provisions of these bylaws.