The range of y = 2/3sin x for π ≤ x ≤ 3pi/2 is _____.

-2/3 ≤ y ≤ 2/3
-2/3 ≤ y ≤ 0
0 ≤ y ≤ 2/3
2/3 ≤ y ≤ 1

Question

The range of y = 2/3sin x for π ≤ x ≤ 3pi/2 is _____.


-2/3 ≤ y ≤ 2/3 
-2/3 ≤ y ≤ 0
0 ≤ y ≤ 2/3 
2/3 ≤ y ≤ 1

anonymous · Answer

I'm going to graph these two equations to get a better idea of the range.

anonymous · Answer

Looking at the graph, the answer is A
Check it out of Wolframalpha.com

mathmale · Answer

This may be more info than you wanted, but here goes anyway:
The range of any sine function is -1 to 1 inclusive.  The coefficient (2/3) shrinks this range to -2/3 to +2/3.  Since your function has no vertical offset, this last result is the range.  By all means ask if you'd like further detail.