How to determine type of Filter from pole zero plot?

[rudra]

According to me Transfer function will be G(s)= (s²+2ζω_n+ω_n²)/((s+p₁)(s+p₂))

I assume from the given plot that ω_n < p₁ and ω_n < p₂

Then the bode plot will be as per me like following :

From the Bode plot we can see for higher freq magnitude is amplified . So it will be High pass Filter.

That's my analysis. If I am wrong please correct me.

 

[rude man]

The imaginary part of the zeros and the real part of the two poles are pretty close together in frequency, which makes it difficult to tell whether the zeros' 40 dB/decade rise occurs before or after the pole drops, but the second pole break definitely occurs at a higher frequency than either the other pole's or that of the zeros so I'd say your conclusion is as correct as anyone's.

 

[rudra]

Thank you rude man. I needed someone to support my answer.