Hello, ^_^Engineer_Adam^_^!
Sketch the graph of the function and determine its domain and range:
To repeat what Captain Black said . . .
We see that .
. . .or:
Since , we have: .
We have a parabola, , with a "hole" at (2,4). Code:

*  *

*  *
*  o(2,4)
*  *
***

Hence: . .or:
We know that the graph of is a with its vertex at the origin.
The graph of is the same but it "rises faster".
The graph of
. .is the same graph moved units to the left.
The graph looks like this: Code:
\  /
\ /
\ /
\ /
\ / 
\ / 
*+
2/3 
Therefore: .