The domain of f(x) = 8x^2 - 5x + 2 is all real numbers.
For the range, f(x) = 8x^2 - 5x + 2 written in vertex form is f(x) = 8(x^2 - 5/8x + 1/4) = 8(x^2 - 5/8 + 25/256 + 1/4 - 25/256) = 8(x - 5/16)^2 + 8(39/256) = 8(x - 5/16)^2 + 39/32
The range is all real numbers greater than or equal to 39/32