I've got a one task to do i need to show if the function g: R -> R^2 by g(x) = (x+1, x+2) is g onto?
I think is not but i do not really know how to show this understanding.
I'll be appreciate for any help.
ok if you see the diagram you may better understand. the domain is a line. the codomain is a plain and the range is a straight line in that plane. now is that range line the same as full plane ?? how can that be ... this is a good way of illuminating things. keep track of pictures.