What would be this curve?

[pars]

Hello,

 

I was wondering if someone can help on this question..

 

What would be the equation for this curve in the figure below?

 

Thanks,

 

Pars

 

[swansont]

Try looking at trigonometric functions

[questionposter]

Try looking at trigonometric functions

 

Couldn't I describe it as a "cubic" curve? There's probably some other Latin word for it, but it looks like a cubic equation where y≤a unless that line is there just to mark the exact integer of a.

Edited October 10, 2011 by questionposter

[imatfaal]

cubic are not asymptotic to values of x - whereas that curve looks as if y will tend toward -ve infinity as x approaches d (and for x=0). ie cubic equations do not have a value of x for which y is not defined but this one does. Shape-wise it does look like a cubic - but the cubic heads off to infinity for both x and y - not just y

[ajb]

Couldn't I describe it as a "cubic" curve?

 

You are going off on a tangent now. Swansont has got the right idea.

[swansont]

You are going off on a tangent now. Swansont has got the right idea.

 

questionposer isn't completely off-base. The graph looks like cotangent, but that has a steeper slope at the zero-crossing, and this graph is flatter. cot^3 looks like a better fit.

[questionposter]

questionposer isn't completely off-base. The graph looks like cotangent, but that has a steeper slope at the zero-crossing, and this graph is flatter. cot^3 looks like a better fit.

 

Oh wait, I didn't notice that the dashed line represents an asymptote. If that's the cause, it's definitely not a cubic function, it looks like a tangent function although I can't say that for sure because it's zoomed in so much, so it's still possible it's an inverse function. Although you need 3 sides to make a triangle, so how could one side actually be 0? I guess it's just where math and nature don't match up.

Edited October 13, 2011 by questionposter

[the tree]

I don't think the dotted lines are definitely asymptotes - if they were then a and b wouldn't be representing anything.

[caradura]

Hello,

 

 

y=(x-a)^3

 

You can give values to "a" like 2, 2.5, 3, etc. All solutions will satisfy the shape of the curve.