The function y is equal to cube root of negative x minus 3 is graphed only over the domain of start set x such that negative 8 is less than or equal to x comma x is less than or equal to 8 end set What is the range of the graph?

For y = ∛(−x) − 3, as x runs from −8 to 8, −x runs from 8 down to −8. The cube root therefore ranges from −2 to 2; subtracting 3 shifts that range to −5 through −1. So the range is −5 ≤ y ≤ −1, choice C.

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