Answer:
- domain: x ≥ 7 . . . [7, ∞) in interval notation
- range: y ≥ 1 . . . [1, ∞) in interval notation
Explanation:
You want the domain and range of the function y = √(x -7) +1.
Domain
The domain is the horizontal extent of the graph. The graph of the given function extends to the right from x=7, which is included in the solution set.
The domain is x ≥ 7.
Range
The range is the vertical extent of the graph. The graph of the given function extends upward from y=1, which is included in the solution set.
The range is y ≥ 1.