Well, the shown picture is a typical automation curve as used in Logic, EnergyXT, etc...
nothing unusual with it. And yes, these curves partly behave like bezier
ones. In short: this image shows exactly what we need.
Btw, what makes you so sure that it is NOT an automation curve? The black
background? I am pretty sure it is one, the question is where it is actually used...
Explanation: The curve is placed between two points and has some kind of
pivot on its way, which can be freely moved in the area between the two
points. Normally it can be used as the curves extreme, or as its
turning point. The steepness of the curve can be adjusted by simply moving
this point around and by putting it closer to its border points... what else
could you ever want!?
Greetz,
agentC