How do you know if the graph crosses the horizontal asymptote?

Question

anonymous · Answer

No graph can cross its horizontal asymptote. The asymptote is where the graph approaches but never touches.

anonymous · Answer

My teacher says it can and here's a photo of it

anonymous · Answer

I guess you would find the horizontal asymptote based on the end-behavior of the graph, and then set your function equal to that value and solve for x.

anonymous · Answer

The horizontal asymptote of this graph is 1; so, set the function equal to one and solve for x.  Were you given the function of the curve?

anonymous · Answer

If you can't solve for x, then the curve never crosses the asymptote.

anonymous · Answer

Oh, ok. That makes sense. What osstack is saying is take your formula you have for the graph (y=something), and put the asymptote in for the 1 and solve for x. If there is a solution, then the graph crosses the asymptote.

anonymous · Answer

Let the equation = horizontal asymptote to check if it crosses.
If it does, you'll find a sol'n, if it doesn't, you'll find something like 2=4 lol

anonymous · Answer

@osstack @D35TR0Y3R @KinzaN, thanks for your help, now it makes perfect sense.

anonymous · Answer

@osstack No, we weren't given the fcn of the curve, our teacher just showed us this so that we know that it is possible and i wan't to know how to determine it because it'll most likely be part of our exam