Question

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

Answer 1

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]