1. The problem statement, all variables and given/known data Show that the function w = e^z maps the shaded rectangle in Fig X one-to-one onto the semi-annulus in Fig y. Fig x is the rectangle -1<x<1 ; 0<y<(x+pi(i)) Fig y is the semi-annulus such that y>0 and -e<r<-1/e 2. Relevant equations .... 3. The attempt at a solution I'm not quite sure how to show the function is one-to-one. Any tips would be much appreciated.