Exercised.

Jurisdiction is exercised within city limits of where the crime was committed.

what is the nature of the authority exercised by a personnel management function

horses that are frequently exercised need feed with higher fiber and less suger,

Yes, the word exercised is a verb, the past participle of the verb to exercise. The past participle of a verb is also an adjective. Example uses:

Verb: We exercised everyday before going to school.

Verb: They exercised the 'no questions asked return guarantee' by returning it.

Adjective: The exercised puppies are so frisky when they're returned to their cages.