Answer:
7) Domain: (-∞, ∞)
Range: (-∞, 1]
8) Domain: (-∞, ∞)
Range: (-∞, 5]
Explanation:
Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.
[ or ] : Use square brackets to indicate that the endpoint is included.
Domain & Range
The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 7
From inspection of the graph, the line is continuous.
The arrows at both ends of the line indicate that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
From inspection of the graph, the maximum y-value is y = 1.
The end behavior of the relation is y approaches -∞ as x approaches both -∞ and ∞.
Therefore, the range of the relation is restricted: (-∞, 1]
Question 8
From inspection of the graph, the line is continuous.
The arrows either end of the line indicate that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
From inspection of the graph, the maximum y-value is y = 5.
The end behavior of the relation is y approaches -∞ as x approaches both -∞ and ∞.
Therefore, the range of the relation is restricted: (-∞, 5]