need answer asap

2. Consider a dynamical system (S, f), with state space S = [-1, 1] and iterator function f(x) =1-x. (a) Show that the system (S, f) is well-defined. (b) For each fixed point of this system determine whether it is attracting, indifferent or repelling. Justify your answer. (c) Show that for each ro E S the orbit of To converges to a fixed point of (S, f)