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(Solved): A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 5 inche ...




A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 5 inches by 6 inches. Six squares
Suppose that the function fis defined, for all real numbers, as follows.
if x?-1
f(x)=(x-1)²-1 if?1<x<2
1
x+2
if x>2
4
Find f
A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 5 inches by 6 inches. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the 6-inch sides. (See Figure 1.) The remaining cardboard will be folded to form the box and its lid. (See Figure 2.) Letting x represent the side-lengths (in inches) of the squares, use the ALEKS graphing calculator to find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places. Figure 1 Figure 2 Value of that maximizes volume: Maximum volume: ?? Suppose that the function fis defined, for all real numbers, as follows. if x?-1 f(x)=(x-1)²-1 if?12 4 Find f(-4), f(1), and fƒ(2). S(-4) = 0 ƒ(1) = 0 ƒ (2) = 0 4. 010 X


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