SOLUTION: Please help me. I got 12 for part a but my friend came up with -2.5 and neither of us can graph the function can you show us how please and thank you. Also we needed help in find

Question 58560: Please help me. I got 12 for part a but my friend came up with -2.5 and neither of us can graph the function can you show us how please and thank you. Also we needed help in finding the last part c.
An open box top is to be constructed from a 4 by 6 foot rectangular cardboard by cutting out equal squares at each corner and then folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Show work here:

b) Graph this function and show the graph over the valid range of the variable x

c) Using the graph, what is the value of x that will produce the maximum volume?
Show work here:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
a) Find the function, V, in terms of x for the volume of the box.

Simplify.
This the function for the volume.
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b) The graph of this:

The valid range of x:
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c) The maximum volume occurs at x = 0.785