Three, 1. Sketch the graph of the function $\mathrm{y}=2 \sin \left(\frac{\mathrm{x}}{2}-\frac{\pi}{6}\right)+1$, and answer the following questions:
(1) Domain is $\qquad$ , Range is $\qquad$ .
(2) Period is $\qquad$ , Frequency is $\qquad$ . $\mathrm{Y}_{\text {max is }}$ , $\mathbf{Y}_{\text {min is }}$ $\qquad$
Three, Solution 1. Figure omitted.
( 1 ) The domain is all real numbers, the range is $-1 \leqslant y \leqslant 3$
(2) The period is $4 \pi$; the frequency is $\frac{1}{4 \pi}$.
( ) $y_{\text {max }}=3 ， y_{\text {min }}=-1$