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!