What is the domain and range of #y =2x^2 - 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)#

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

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