What is the range of y is equal to negative 5 sine x ?
Answer
A
all real numbers negative 5 halves is less than or equal to y comma y is less than or equal to 5 halves
B
all real numbers negative 1 fifth is less than or equal to y comma y is less than or equal to 1 fifth
C
all real numbers negative 5 is less than or equal to y comma y is less than or equal to 5
D
all real numbers negative 1 is less than or equal to y comma y is less than or equal to 1
Explanation
The sine function ranges from −1 to 1. Multiplying every sine value by −5 gives values from (−5)(1) = −5 to (−5)(−1) = 5. Therefore, the range is −5 ≤ y ≤ 5, which is choice D.
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