For real numbers $\mathrm{a}$, $\mathrm{b}$ and $\mathrm{c}$ with $\mathrm{a} \cdot \mathrm{b} \cdot \mathrm{c} > 0$, a function $f$ is defined on the set of real numbers as
$$f(x) = ax^{2} + bx + c$$
Accordingly, the graph of function $f$ can be which of the graphs shown (I, II, III)?
A) Only I
B) Only II
C) I and III
D) II and III
E) I, II and III