y =  - 3

First draw the graph of y = 



Next draw the graph of y = 
which is the red graph shifted left 1 unit to the left.  
That's the green graph below:



Finally draw the graph of y =  - 3, which is the
green graph shifted 3 units down.  That's the blue graph below:



To find the domain, set the expression under the square root
radical ≧ 0.

   x + 1 ≧ 0
       x ≧ -1

This is the graph of the domain:



This is the interval notation for the domain:

 [-1,)

The range is from the lowest value of y, which is -3 to infinity,
represented by the inequality y ≧ -3.


the green part of the vertical number line below is the graph of
the range


              

The interval notation for the range is 

[-3,)

Edwin