What is the range of y is equal to negative 3 sine x minus 4 ?

Since sine values range from −1 to 1, multiplying by −3 gives values from −3 to 3. Subtracting 4 shifts that range down by 4, so y ranges from −7 to −1, inclusive. The correct choice is A: −7 ≤ y ≤ −1.

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