Thread: I'm looking for an equation to create a graph.

I need a function whose graph will approach negative infinity along the y-axis approaching a limit of a given value x while the other end of the graph approaches negative infinity along the x-axis while approaching a given value y. Thus the graph would look rather like an L rotated 180 degrees (with the corner somewhat rounded, of course). What would the form of this equation be? It's been a few years since I took calculus, and I remember that there was a rule of thumb for this... a certain shape of graph goes with a certain equation, and you plug in x- and y-intercept values... but I don't remember this one, I didn't keep my calculus textbook, and I can't seem to find it on the Internet. So here I am. I don't even know for sure that this is a calculus question, but I remember covering limits in calculus...

maybe it would be best if you made a sketch ... your verbal description leaves much to be desired.

y=1/x has the properties that you describe for the special case when the two limits are zero. So you could try something like

Thanks Kiwi_Dave--that's perfect.