In interval notation, this domain is .
For the function , this is a linear function, which is a straight line infinitely long in both directions. So the range is also , or .
For the function , we first need to consider the .
The absolute value function "gobbles up" all negatives and turns them positive. Thus the range of is or .
Subtracting 7 gives a vertical translation of 7 units down.
So the range of is or .