Let $f : R \to R$ be a continuous function defined by $f(x) = \frac{1}{e^x + 2e^{-x}}$. <br> Statement-1 : $f(c) = \frac{1}{3}$, for some $c \in R$. <br> Statement-2 : $0 < f(x) \leq \frac{1}{2 \sqrt{2}}$, for all $x \in R$

Question

( A ) Statement -1 is true, Statement-2 is false
( B ) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1
( C ) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1
( D ) Statement -1 is false, Statement-2 is true