Class Opener: A rectangular package to be sent by the U.S. Postal Service can have a maximum combined length and girth(perimeter of cross section) of 108 inches. Write the volume V of the package as a function of x. What is the domain of the function? Use a graphing utility to graph the function. Make sure to have the appropriate window. What dimensions will maximize the volume of the package?
Recall: Graphs of functions The graph of a function, f, is the collection of ordered pairs (x, f(x)) such that x is in the domain of f. x = the directed distance from the y – axis f(x) = the directed distance from the x – axis