Final answer:
Article II of the Constitution outlines the executive branch's duties, which include making treaties, appointing ambassadors, and addressing Congress, but not calling a special election.
Step-by-step explanation:
Article II of the Constitution delineates the powers and duties of the executive branch, which is headed by the President of the United States.
The executive branch is granted several specific responsibilities, including making treaties (with the advice and consent of the Senate), appointing ambassadors, and other officials (also requiring Senate confirmation), and addressing Congress, commonly through the annual State of the Union speech.
The one duty mentioned in the student's question that is not within the constitutional powers of the executive branch is calling a special election.
Article II does not grant the President the power to call special elections; that is a power reserved for other parts of the government, namely state governments and Congress under certain circumstances.
Presidential duties primarily involve executing the laws passed by Congress, conducting foreign policy, and leading the executive branch of the federal government.