Question 1163632
<pre>
A rational function's curve can never cross a horizontal asymptote because
the function is always undefined and approaching infinity or negative infinity as x approaches the x-value of a horizontal asymptote.  If the
curve crossed it the function would be defined there.

However a rational function's curve can indeed cross a vertical asymptote
because the curve can cross it at some point, then curve back and approach
it. 

The function 

{{{"f(x)"=(x+3)^2/(x^2-5x))}}}

has graph:

{{{drawing(800,1000,-10,20,-10,10,
green(line(-11,1,21,1),line(5,-11,5,11),locate(-3.5,2,(matrix(1,3,-9/11,",",1)) )),
graph(800,1000,-10,20,-10,10, (x+3)^2/(x^2-5x)) )}}}

The curve crosses its horizontal asymptote y = 1 at the point:

Edwin</pre>