Answer: [tex]-\frac{2}{3} \le y \le 0[/tex]
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Plug in x = pi and we get
y = (2/3)*sin(x) = (2/3)*sin(pi) = 0
Plug in x = 3pi/2 and we get
y = (2/3)*sin(x) = (2/3)*sin(3pi/2) = -2/3
So the range is from -2/3 to 0 inclusive of both endpoints, which can be written as [tex]-\frac{2}{3} \le y \le 0[/tex]
