What functions do all types of government carry out

Ensure national security, maintain order, resolve conflict, provide services, and provide for the public good.

If you're talking about the three branches then the executive branch consists of president, vice president, the 'cabinet'. The legislative branch consists of the Senate and the House of Representatives (congress) which is responsible for passing laws and allowing funding for the 50 states.The judicial branch consists of the United States Supreme Court and lower federal courts. Their responsibility is to hear cases that require a better interpretation; complicated cases.