What judicial power is specifically granted to the President?

The President is granted the power to grant reprieves and pardons as part of their judicial authority. This power allows the President to delay the imposition of a sentence (reprieve) or to forgive a person for a crime and cancel any penalties (pardon). This authority is outlined in Article II, Section 2 of the U.S. Constitution, highlighting the President's role in providing mercy and that this power can be exercised at their discretion, particularly in federal cases.

The option regarding the appointment of federal judges, although a significant presidential responsibility, does not constitute a judicial power itself; rather, it is part of the executive role in shaping the judiciary. The creation of new courts is a power reserved for Congress, which is responsible for establishing the framework of the federal court system. Lastly, the authority to deny bail typically falls under the jurisdiction of the courts, not the President, as judicial proceedings and decisions regarding bail are handled by judges. This clarifies the specific nature of the President's power to grant reprieves and pardons within the judiciary.