Answer:
[tex]-2\:<\:y\le2[/tex]
Step-by-step explanation:
The given function is [tex]f(x)=2sin(x)[/tex]
This function is has amplitude of 2.
This means that; [tex]-2\le f(x)\le 2[/tex]
Also the sine function will attain minimum at [tex]x=-\frac{\pi}{2}[/tex] and maximum is [tex]x=\frac{\pi}{2}[/tex].
Therefore the range is [tex]-2\:<\:y\le2[/tex]
