I. phrasal
1. : capable of performing or dealing with
feels up to the task
2. : engaged in
what is he up to
3. : being the responsibility of
it's up to me
II. preposition
Date: 13th century
1. — used as a function word to indicate extension as far as a specified place
sank up to his knees in the mud
2. — used as a function word to indicate a limit or boundary
up to 50,000 copies a month
worked up to the last minute