A function $$f(x) = ax^2 + bx + c$$, where $$a, b, c \in R$$, satisfies the property $$f(x) < x$$ for all $$x \in R$$. Then which of the following statements must always be TRUE ?

A

$$a \leq 0$$

B

$$b \geq 1$$

C

c = 0

D

b > 1