There is a function $$f(x)$$, such that $$f(0) = 1$$ and $$f'(0) = -1$$ and $$f(x)$$ is positive for all values of $$x$$. Then,

A

$$f"(x) < 0$$ for all $$x$$

B

$$-1 < f" (x) < 0$$ for all $$x$$

C

$$-2 < f"(x) < -1$$ for all $$x$$

D

None of the Above