The most accurate response regarding the main powers and functions of the Supreme Court according to Article III of the U.S. Constitution is:
The Supreme Court rules on cases that involve constitutional law and federal statutes in addition to balancing powers of the federal government with judicial review.
This statement captures the Supreme Court's role in interpreting the Constitution, adjudicating disputes under federal law, and exercising the power of judicial review to assess the constitutionality of actions taken by the legislative and executive branches.