Let f : C C be given by f (z) = (z2 9)1/3 for all z C. (a) Find the finite branch points of f . (b) In lecture we showed g(z) = (z2 9)1/2 had two branch points and if we traversed around both of them then we had no jump discontinuities. We have a branch point at infinity if the function takes on multiple values over a large circle, one with a radius capable of capturing all of the finite branch points of f . Determine if f has a branch point at infinity