Find the domain and the range of the relation.
-
A)domain: (-∞, ∞); range: (-∞, -6]
B)domain: (-∞, ∞); range: (-6, ∞)
C)domain: (-∞, ∞); range: (-3, ∞)
D)domain: (-∞, ∞); range: [-6, ∞)

Question

Find the domain and the range of the relation.
-
A)domain: (-∞, ∞); range: (-∞, -6] 
B)domain: (-∞, ∞); range: (-6, ∞) 
C)domain: (-∞, ∞); range: (-3, ∞) 
D)domain: (-∞, ∞); range: [-6, ∞)

Quizplus · Accepted Answer

The domain is all real numbers (-∞, ∞) as there are no restrictions on the input. The range includes all numbers greater than or equal to -6, but does not include -6 itself (since the brackets indicate it is not included), so the correct answer is [−6,∞). Therefore, the best choice is D. The domain is all real numbers (-∞, ∞) and the range includes all values greater than or equal to -6, with the use of a closed bracket indicating that -6 is included in the range. Thus, the correct answer is D.

Find the Domain and the Range of the Relation