The \(\mathrm{dB}\) (Bode plot) of transfer function \(\mathrm{G}(\mathrm{s})\) is shown in figure below.

Now, consider the following statements.
I. \(\mathrm{G}(s)\) has corner frequencies at \(\omega=0.1,1\) and 10 .
II. \(\mathrm{G}(s)=\frac{100(s+1)}{s(s+10)}\).
III. The magnitude, \(20 \log _{10}|\mathrm{G}(j \omega)|\) at \(\omega=1000\), is \(-20 \mathrm{~dB}\).

Of these, the correct statements are
(a) I, II and III
(b) I and II
(c) II and III
(d) I and III.

20 log0 G(jo) 40- 20- 0.1 10 100 (0) (rad/sec)