Hello, osmosis786!
When possible, I like to sketch a graph.
Find the range of: .
The graph of . .looks like this: Code:

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 *
 *
 *
 *
+
* 
* 
* 
* 

*

Domain: .
. Range: .
The graph of .
. . is the previous graph moved two units to the left. Code:
: 
:* 
: 
: * 
: *
: *
:  *
++
* 2 
* : 
* : 
* : 
: 
*: 
: 
Domain: .
. Range: .
The graph of . . rises more "steeply"
. . and "flattens slower", but has the same basic shape.
The graph of . . is the previous graph lowered 3 units.
Code:
: 
:* 
: 
: * 
+*
: *
:  *
      o        
* (2,3)
* : 
* : 
* : 
: 
*: 
: 
Domain: .
. Range: .