Hi Brian, I'm a little confused because previously you wrote:

> Given a (continuous) curve in an ( x, y ) plane, which goes from xMin to xMax, and which for every x, has a single y value.
> (Like for a single valued function.)
> A circle and ellipse do not qualify. The bottom half of a circle would qualify.

But all of the curves you just posted are not function curves like that.

- Michael