Identify the term that best describes the italicized words. the old man sat at the window, remembering the days when he would have gone outdoors.

The phrase "remembering the days when he would have gone outside" is describing the man. Participial phrases always have a participial, in this case remembering and have gone, and these phrases act like adjectives to describe the subject on the sentence.  The answer is participial phrase.

abruptly

im not to sure