Part II: Article II, Section I of the U. S. Constitution provides that the president must "take care that the laws be faithfully executed." Presidents have used this authority to issue executive orders, which are orders to federal agencies that are a part of the executive branch and which contain detailed instructions on how laws enacted by Congress should be carried out. Presidents are not specifically given the power to issue executive orders by the U. S. Constitution. Is it appropriate for the president to exercise powers that the Constitution does not specifically grant to him or her? Why, or why not?

Yes it is.

Explanation:

The Constitution puts the President at the head of the Executive branch of government and provides that the President should ensure that the laws of the land are faithfully executed.

Seeing as executive orders are issued to members of the executive - which are under the President - and are done to ensure that the laws of the land are carried out, the President is not only following the Constitution's directives in  Article II, Section I of the Constitution but doing it within their power as head of the executive.

Executive orders are therefore an implied constitutional power that the President has.