Answer
Domain$= (-\infty,\infty)$
Range= $[0,2]$
Work Step by Step
The sine is defined for all reals, so
Domain = $\mathbb{R}= (-\infty,\infty)$
Range:
Minimum of sine is $-1$,
so the minimum of y is 0
Maximum of sine is $+1$,
so the maximum of y is $2$
Range= $[0,2]$