HELP!!!

Pablo was graphing a function and noticed that at certain points, the graph reaches invisible lines the graph will never cross. Explain to Pablo what the two types of invisible lines are and how to predict them. You may create your own example to aid in your reasoning. Use complete sentences.

Question

HELP!!! 

Pablo was graphing a function and noticed that at certain points, the graph reaches invisible lines the graph will never cross. Explain to Pablo what the two types of invisible lines are and how to predict them. You may create your own example to aid in your reasoning. Use complete sentences.

anonymous · Answer

@mathmale can you help with this question?

mathmale · Answer

First, Maria, I'd like to ask whether that term, "invisible lines," rings a bell with you.  What's the proper name for such lines?  Actually, when I graph a function such as that which currently plagues our friend Pablo, I make a point of making those "invisible lines" visible, because doing so makes graphing the function so much easier.

mathmale · Answer

I'm uncomfortable with the wording of this problem (which is not your fault).  First of all, if we're discussing "asymptotes," the graph doesn't actually reach such lines at given points; instead, the graph NEARS those lines.  Secondly, there are situations in which graphs can and do cross horizontal asymptotes.
If you have your textbook handy, would you mind looking up "horizontal asymptotes" and taking a look at any examples given there, so that this discussion would make more sense?