Let $$f(x) = a^2x^2 + 2bx + c$$ where, $$a \neq 0, b, c$$ are real numbers and x is a real variable then

A

f(x) has a maximum and a minimum

B

f(x) has a minimum and no maximum

C

f(x) has a maximum and no minimum

D

f(x) has no minimum and no maximum