The formula for the volume of a cube is V(s) = s3 where s is the side length of the cube. In which quadrant(s) is the graph of the function V(s)?

A cube’s side length s cannot be negative, so s ≥ 0. Its volume V = s³ is also nonnegative, placing the graph in quadrant I (and at the origin when s = 0). Quadrant III would require a negative side length and a negative volume, which are not physically possible.

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