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The range of y= 2/3 sin x for pi < x < 3pi/2 is ___?

A. -2/3 < y < 2/3
B. -2/3 < y < 0
C. 0 < y < 2/3
D. 2/3 < y < 1

User JvRossum
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Final answer:

The range of y = 2/3 sin x for pi < x < 3pi/2 is -2/3 < y < 0.

Step-by-step explanation:

The range of the function y = 2/3 sin x, where pi < x < 3pi/2, can be determined by finding the maximum and minimum values of the sine function within the given interval.

When the input of the sine function is between pi and 3pi/2, the values of sine are negative. Therefore, the maximum value of the function is -2/3 and the minimum value is 0. So, the range of y = 2/3 sin x for pi < x < 3pi/2 is -2/3 < y < 0.

User Kiruse
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