We've got that sentence:
Graphs hug asymptotes.
What does it mean?
Let's check out one of our old friends...
|See how the graph is getting closer and closer to the axes?... But, it will never touch them?
The x and y axes are asymptotes!
Asymptotes are lines (usually invisible) in space that a graph gets closer and closer to but never touches...
|Graphs hug asymptotes.