4. Elena is making an open-top box by cutting squares out of the corners
of a piece of paper that is 11 inches wide and 17 inches long, and then
folding up the sides. If the side lengths of her square cutouts are
x inches, then the volume of the box is given by V(x) = x(11-2x)(17 - 2x).
a.
Elena graphs the volume of the box along with the function
B(x) = 140.
y
200
150+
100
50
+
-4 -3 -2 -1
-50
-100
201
y = V(x)
What is a reasonable domain for V(x)?
y = B(x)
1 2 3 4 5 6 7 8 9 10 11 12 13 14
X
b. Approximately which value of x will give her a box with the greatest
volume?
