Find the domain and the range of the relation.
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A)domain: (-∞, ∞); range: (-∞, -4]
B)domain: (-∞, ∞); range: [-4, ∞)
C)domain: [4, 5]; range: (-∞, -4]
D)domain: (-∞, 4)U(5, ∞); range: [-4, ∞)

Question

Find the domain and the range of the relation.
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A)domain: (-∞, ∞); range: (-∞, -4] 
B)domain: (-∞, ∞); range: [-4, ∞) 
C)domain: [4, 5]; range: (-∞, -4] 
D)domain: (-∞, 4)U(5, ∞); range: [-4, ∞)

Quizplus · Accepted Answer

The domain is all real numbers because there are no restrictions on the input. The range includes all values greater than or equal to -4 because the relation includes all values from -4 to positive infinity. Therefore, the correct choice is B. The relation does not have any restrictions on the input values, so the domain is (-∞, ∞). However, the output values are restricted to values greater than or equal to -4, so the range is [-4, ∞). Option B correctly specifies these values.

Find the Domain and the Range of the Relation