  We summarize the status of constructing fixed functionals within the
f(R)-truncation of Quantum Einstein Gravity in three spacetime dimensions.
Focusing on curvatures much larger than the IR-cutoff scale, it is shown that
the fixed point equation admits three different scaling regimes: for classical
and quantum dominance the equation becomes linear and has power-law solutions,
while the balanced case gives rise to a generalized homogeneous equation whose
order is reduced by one and whose solutions are non-analytical.
