What is the domain and range of y =2x^2 - x - 6y=2x2−x−6?

1 Answer
Binayaka C.
Jan 28, 2017

Domain (valueof x) is all real numbers.
Range is {y : y >= −49/8} = [−49/8, oo){y:y≥−498}=[−498,∞)

Explanation:

y=2x^2-x-6 = 2(x^2-x/2)-6 = 2(x^2-x/2+(1/4)^2) -1/8-6 = 2(x-1/4)^2-49/8y=2x2−x−6=2(x2−x2)−6=2(x2−x2+(14)2)−18−6=2(x−14)2−498 Vertex is at (1/4, -49/8)(14,−498)
Domain (valueof x) is all real numbers.
Range is {y : y >= −49/8} = [−49/8, oo){y:y≥−498}=[−498,∞) graph{2x^2-x-6 [-22.5, 22.5, -11.25, 11.25]} [Ans]

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