Is the example a complete sentence, sentence fragment, or run-on sentence?

to figure out in how many days the new library will open.

a.
sentence fragment

b.
complete sentence

c.
run-on sentence

Read the excerpt from monster. steve no, but i’ve seen a lot of ball games. i watch a lot of ball games. based on this dialogue, what can the reader infer about steve? he is a good basketball player. he enjoys watching ball games. he makes films of ball games. he is too lazy to play ball games.