# Maximizing the Volume of an Open Top Box

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1.You are to design a container box by cutting out the four corners of a square cardboard sheet that is 1600 cm2 in area. The box must have a square base and an open top. Determine the dimensions of the box that give maximum volume.

2.Sketch the graph of the function f(x)=x2+4 Identify the following features of the graph:

x2+9

a)domain

b)x-intercepts

c)y-intercepts

d)symmetry

e)asymptotes

f)intervals of increase or decrease

g)local maximum or minimum values

h)concavity and points of inflection

See attached file for full problem description.

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