Show the graph of a function intersects its horizontal asymptote at one point

the function is

So it will have a vertical asymptote at

And it will have a horizontal asymptote at the line

and to determine whether the graph approaches the horizontal asymptote from above or below

as and

And because but as

Thus the graph would intersect the horizontal asymptote at being the point

Is this correct?

Re: Show the graph of a function intersects its horizontal asymptote at one point

Hey Jonroberts74.

It all looks good.