I've tried to do the following questions with the help of provided examples but can't seem to get a right answer. I don't think I am solving them with the right method.

1) A piece of wire

long has the shape of a rectangle. Given that the width is

, show that the area,

, of the rectangle is given by the function

. Find the greatest possible domain and the corresponding range of this function in this context.

2) Sketch the graph of

Given that

is the volume of a cuboid with height

, length

and

, state an appropriate domain for the function given above.

Can you also please tell me how would I go on about sketching these kind of graphs.

Thanks in advance!