1. The problem statement, all variables and given/known data Let D* = [0,1]x[0,1] and define T on D* by T(u,v)=(-u^2+4u, v). Find the image D. Is T one-to one 2. Relevant equations 3. The attempt at a solution I have no idea... I don't know how to do it. The solution is [0,3] x [0,1]... yes it is one to one. am I supposed to say det A does not equal zero or use the u=u' v=v' approach? and... how do I find D? i don't know how to go about this. Could someone give me a similar example and solve that?