Final answer:
An agent appointed by a power of attorney is referred to as an 'attorney in fact' and is someone who acts on behalf of the principal in accordance with the powers granted in the document.
Step-by-step explanation:
An agent appointed by a power of attorney is referred to as an attorney in fact. This individual has been granted the authority to act on behalf of the person granting the power, known as the principal, in specific financial, legal, and personal matters outlined in the document.
The term attorney at law refers to a lawyer who is legally qualified to prosecute and defend actions in a court of law on the behalf of clients. An implied attorney or implied agent are not terms commonly used within this context. Instead, an implied agent would be someone who is assumed to have been given authority based on circumstances, rather than a formal agreement like a power of attorney.