Answer:
(1) Cases dealing with constitutional issues.
(2) State cases must be about a constitutional or federal issues
Explanation: Supreme Court is the highest court of the United States of America,it is the Court of final appeal where cases regarding States or major constitutional issues are handled.
One factor The increases the likelihood of the Supreme Court to hear an appeal is IF THE CASE IS A CONSTITUTIONAL ISSUE,if it has to do with a breach of the Constitution the Supreme Court will have to hear the appeal.
One factor that limits the Supreme Court authority to hear an appeal is IF THE APPEALS ARE FROM THE STATES AND IT MUST BE ABOUT CONSTITUTIONAL OR FEDERAL ISSUE this factor is a major limiting factor to the authority of the Supreme Court,because this kind cases are only handled by the Supreme Court.