Answer
a. V(x)= (8-2x)(15-2x)(x)
b. 0
Work Step by Step
a. Figure out the length, width, and height using the figure of the box to find the volume in terms of x, V(x).
b. The length, width, and height have to all be more than 0. Solve for all three and find the domain of the graph.
c. Use the domain, and the equation, to graph V(x). Then use the vertex to find the range.
