Answer:
Domain: (-∞, ∞)
Range: [2, ∞)
Input: (f) = 2
Output: f(1) = 3
Explanation:
Domain
The domain is the set of all possible input values (x-values).
There are arrows at both endpoints of the graphed continuous line, indicating that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted:
Range
The range is the set of all possible output values (y-values).
Assuming that each square is 1 unit, from inspection of the graph, the minimum y-value is y = 2.
The arrow at the endpoint in quadrant I indicates that the line continues horizontally at y = 2.
The arrow at the endpoint in quadrant II indicates that the line continues indefinitely towards y = ∞.
Therefore, the range of the relation is restricted:
Input
To find the value of f(4), find x = 4 and trace up to the line then read the y-value at that point. Therefore:
Output
To find the x-value when y = 3, find y = 3 and trace horizontally to the line then read the x-value at that point. Therefore: