When an agency publishes notice of proposed rulemaking, the notice must include the subject of the proposed rule, the date and time of the proceedings, and the authority for passing the rule?

This is quite true. Whenever an agency decides to publish a notice of proposed rulemaking, it must be logged in the federal register, which is a publication that is put out daily for the executive branch, it includes government orders, regulations, and rules. The notice says when and where any proceedings will take place, the agency that has the legal power to make any rules, and the terms of the rules as well as the subject matter.