viewing function image f(U)



Hi, i'm solving some integrals. when i change variables i'm not good
to see the new domain of the integration.
for example, if the initial domain was a rectangle [a,b]x[b,c]
and i change it to another thing with f(x,y)=[x,x*y]

how can i know the shape of the new domain f([a,b]x[c,d])?

thanks!