Can someone please help me with an algebra 2 question? John was graphing a function and noticed that at certain points, the graph reaches invisible lines the graph will never cross. Explain to John what the two types of invisible lines are and how to predict them.

Question

anonymous · Answer

I know that one type will be a vertical asymptote

directrix · Answer

Right. The  other two types are oblique and horizontal asymptotes. It is possible for a function to intersect both its oblique and horizontal asymptotes.

anonymous · Answer

Well it says they are ones that will never cross

anonymous · Answer

Is there another type of invisible line that a graph will never cross?

directrix · Answer

Not that I know of.

directrix · Answer

Look at this question answered previously. http://openstudy.com/updates/52afeb3ee4b08e1807b80eff

directrix · Answer

@henryarias5 posted

i think the question is talking about vertical and horizontal asymptote. im pretty sure it is.

And, I bet that is what whoever wrote this question is thinking.

anonymous · Answer

So I should mention both horizontal and vertical asymptotes?

directrix · Answer

That is what I would do. And, look at this thread for ideas. http://openstudy.com/updates/52d45f71e4b01e5fc1e0a01d

anonymous · Answer

Thank you for your help :) do you think you could give me an example of a function to use to find the vertical and horizontal asypmtotes and support my answer?

directrix · Answer

I liked the y = 1/x  because its formula is simple looking. It would be easy to explain also.

directrix · Answer

The axes are the asymptotes.

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