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!