When Jonathan iterated this function, see 2.a, starting with 1, he got: 1, -1,11, 4.4545, 3.653, 3.358, 3.213,... When I first worked on this, I decided to graph consecutive pairs of this infinite sequence. What happened was the points started at (1,-1), went to (-1,11) on the other part of the curve, then went back to the first piece and moved along this section approaching (3,3). This of course is the limit of the sequence and the one root of the original quadratic equation. WOW!

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