I'm trying to understand this question which asked to find the fixed points of this tent map. However, I was under the impression that the fixed points are the points that hit the y=x line.
However, why does $T^{2}$ have fixed points of period 2? I just don't see how you can deduce what is below. Particularly, $T^{2}$. Surely you just have four fixed point at the intersection of y=x?