No, it is an adjective (no longer living). The active and passive verbs would be to make extinct or to become extinct.
It is an action verb.
Extinct is an adjective.
began is an action verb, not a linking verb.
"Sent" is an action verb. It shows an action, such as "she sent an email."
die out
what follows a linking or action verb
It is an action verb.
action verb
Action verb
Action verb
An action verb
The verb stay is an action verb.