These graphs are my worst enemy -.- May someone please explain to me or show me step by step how to find the answer so I know what to do in the future? Picture is in the attachment.

Question

anonymous · Answer

attachment

anonymous · Answer

I never really understood how to find asymptotes

anonymous · Answer

@terenzreignz If you have the time, do you think you could help me on this one? (: I understand if not.

terenzreignz · Answer

I'm sorry I was answering another question, would you like to show me your new question?

anonymous · Answer

It's all good (: And yes please, if you don't mind.

terenzreignz · Answer

you know what asymptote means?

anonymous · Answer

I was just about to ask Lol. I don't know what it is or means.

terenzreignz · Answer

An asymptote is (more or less) a line that the graph seems to approach, but NEVER touches.
For example, the line
x = 2pi
the graph seems to get closer and closer to it, but never really touches it, you get me? :)

anonymous · Answer

Oh, okay I see (:

terenzreignz · Answer

Well, can you name another asymptote?

anonymous · Answer

Well I see 2pi and -2pi, or do you mean a completely different asymptote?

terenzreignz · Answer

-2pi is a different asymptote :)
so as you see, each asymptote is 2pi plus 2npi, where n is an integer :)
take -2pi, for instance, in that case, n = -1

Get it? :)

anonymous · Answer

OOOH! Lol So simple (:

terenzreignz · Answer

haha, it just looks tough :)

anonymous · Answer

Definately Lol Would it be 4pi(n)? I see there's no 2pi(n) :o

anonymous · Answer

attachment

terenzreignz · Answer

I think I'd go for the third one.
I don't know why it isn't in the choices, though

anonymous · Answer

hmmm, alrighty (: Thank you again, btw (:

terenzreignz · Answer

No problem :)