Find the domain and range of the quadratic function whose graph is described.
-The vertex is (-1, -12) and the graph opens up.
A) Domain: (-∞, ∞)
Range: [-12, ∞)

B) Domain: [-1, ∞)
Range: [-12, ∞)

C) Domain: (-∞, ∞)
Range: (-∞, -12]

D) Domain: (-∞, ∞)
Range: [-1, ∞)

Question

Find the domain and range of the quadratic function whose graph is described.
-The vertex is (-1, -12) and the graph opens up.
A) Domain: (-∞, ∞)
Range: [-12, ∞)

B) Domain: [-1, ∞)
Range: [-12, ∞)

C) Domain: (-∞, ∞)
Range: (-∞, -12]

D) Domain: (-∞, ∞)
Range: [-1, ∞)

Quizplus · Accepted Answer

The domain of any quadratic function is all real numbers, hence (-∞, ∞), because there's no restriction on the x-values it can take. Since the graph opens up and the vertex is the lowest point, the range starts from the y-coordinate of the vertex, -12, and goes to infinity, hence [-12, ∞).

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