The President of the United States is exercising which of the following when presenting information on the state of the union to Congress and when convening both houses of Congress on extraordinary occasions?

When the President presents information on the state of the union to Congress and convenes both houses on extraordinary occasions, this action falls under legislative power. This is an essential aspect of the President's role in the legislative process, designed to keep Congress informed about the condition of the country and to encourage legislative action.

The state of the union address serves as a platform for the President to outline priorities, propose legislation, and discuss national issues. By doing so, the President interacts directly with Congress and plays a crucial role in shaping legislative agendas. Additionally, when the President calls both houses of Congress to convene, it demonstrates the authority to manage congressional sessions and respond to pressing issues facing the nation.

In contrast, judicial power pertains to the enforcement and interpretation of laws through the court system, while administrative power relates to the administration and enforcement of federal laws and the operation of government agencies. National security power encompasses the President's roles in military and foreign affairs, especially regarding the defense of the nation. However, the actions of presenting the state of the union and convening Congress are explicitly aligned with legislative functions, reinforcing the President's role in the legislative domain.