Lengthwise count of 1/2-inch cubes = 8 1/2 ÷ 1/2 = 17
Widthwise count of 1/2-inch cubes = 5 1/2 ÷ 1/2 = 11
Heightwise count of 1/2-inch cubes = 2 1/2 ÷ 1/2 = 5
Total number of 1/2-inch cubes = 17 x 11 x 5 = 935
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Answer: 935 1/2-inch cubes are required.
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A is confirmed as correct since -13 falls within the domain of g(x), and 20 is included in its range. For g(x), the inequality holds: -20 < -13 < 5 and -5 < 20 < 45. B is incorrect since the number 4 exists within the domain of g(x), but -11 is not within its range, represented by -20 < 4 < 5 and -11 < -5. C is likewise incorrect, as it is stated that g(0) equals -2. D is also false since 7 does not belong to the domain of g(x).