Corners of equal size are cut from a square with sides of length 8 meters (see figure).

(a) Write the area A of the resulting figure as a function of x. Determine the domain of the function.
(b) Use a graphing utility to graph the area function over its domain. Use the graph to find the range of the function.
(c) Identify the figure that results when x is the maximum value in the domain of the function. What would be the length of each side of the figure?

Transcribed Image Text:

-8 m· х х х х 8 m х х.