Both of your explanations work, but I don't think you'll be able to graph those kinds of "functions" on any graphing utility because they are not standard ones, like sin(x), ln(x), sqrt(x), etc.
I hope I can describe this well enough so that someone might be able to help me.
I'm looking for a general equation that includes, for example, the following coordinates:
I've figured out two ways to describe what I want. Either x = the sum of all y's less than or equal to it, or x = y plus the x immediately preceding it in the series.
I'd be most interested in whether this could be graphed as a curve.
Thanks in advance, and I hope this is clear.
I think you can. Gragh the following equation
f (x) = [sqrt(8*x+1)-1] / 2
If you look at your points, you should be able to see a quadratic equation only in reverse. (0,0) (1,1) (2,3) (3,6) (4,10)
The equation should be y = 0.5x *(x + 1), now solve for x and you should get what you want to graph
If you want the other half of the graph you will also have to graph -f(x)