Looking for a function

[jedidia]

I'm looking for a curve that's roughly shaped like this:


Sigmoid alone won't do the trick because I need two bends in the same direction (and also lying on its side, but that part would probably be doable). I'm trying to concoct something together, but I suck at this stuff...

 

[Urwumpe]

Wouldn't a combination of a linear function and a sine work there? Otherwise, if you just need to fit it to some data points, what about using a bezier curve?

 

[Trekkie]

Wouldn't a combination of a linear function and a sine work there? Otherwise, if you just need to fit it to some data points, what about using a bezier curve?

there is a Bezier Curve function in Blender

 

[MaxBuzz]

maybe there are simpler 2D programs

 

[kuddel]

As @Urwumpe said: Try linear function with a sine component.
You can "tweak" the factors until it fits your desire: https://www.desmos.com/calculator/4rkmdmtkw0

 

[n72.75]

if you need help extracting points:

WebPlotDigitizer - Extract data from plots, images, and maps

automeris.io

 

[asbjos]

Your right end looks very steep, so maybe a square root together with the sin(x)-x would help?
Here is \( \sqrt{-\sin^2 \left(x-1\right) - x + 5 } \)
The sqrt makes the end steep, the square on the sine makes it more "wavy".

Desmos | Graphing Calculator

www.desmos.com

 

[n72.75]

@asbjos, I might be calling you next time I need an equation for a RF gain polar.

 

[asbjos]

@asbjos, I might be calling you next time I need an equation for a RF gain polar.

Hours and hours spent on fooling around in GeoGebra, finally paying off. Totally worth the cost in reduced social interaction during high school. ?