Find the absolute maximum value and the absolute minimum value

Question

Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)

f(x)=x/64+x^2

Max=

Min=

Answer 1

is a parabola. By completing the square, we get f(x) = (x + 1/128)^2 - (1/128)^2 = (x + 1/128)^2 - 1/16384

It has no maximum, but it has a minimum of 1/16384