Final answer:
Off-duty officers within their jurisdiction typically retain the authority to enforce the law and have arrest powers, especially in the case of witnessed felonies, but must identify themselves as law enforcement and comply with department policies.
Step-by-step explanation:
When an officer is off-duty within his jurisdiction, he generally retains the authority to enforce the law and make an arrest if necessary. This is due to the recognition that the police officer, even when not on the clock, is entrusted with public safety and has a duty to act should a crime occur in their presence. However, off-duty officers may face certain restrictions and are expected to adhere to departmental policies. Moreover, officers are required to identify themselves as law enforcement before exercising their power. For example, an off-duty officer witnessing a felony may have the power to arrest the suspect, given that there is enough probable cause to believe that an offense has been committed.
In day-to-day interactions, respect for an officer's legitimate authority, such as pulling over for red and blue lights, is expected. However, the power is limited to legal and official duties, like issuing a speeding ticket, and does not extend to personal directives like ordering someone to mow the officer's lawn. Off-duty police authority is also guided by state and local laws, which can vary, so the officer must be knowledgeable about the limits of his or her enforcement powers while off-duty.