If your not fond of simulators, just calculate what the impedance of the capacitors would be at a few different frequencies, as the frequency increases the impedance of both capacitors drop, so the gain of the op amps changes at that frequency.
C3 means it has a high pass filter, as that is reducing the gain of low frequency signals, C4 means it has a low pass filter, as that reduces the gain of higher frequency signals So I would call it a band pass filter.
Bandpass filters often has some way to set the peaking, which adjusts the -3dB bandwidth.
This circuit is simpler, since the opamp does its best to make its Vin- always track its Vin+, which cleanly separates the RC groups.
In this circuit, a more meaningful description is: has a LowPass F3dB set by the network from opamp's output to Vin-, and has a HighPass F3dB set by the network from Vin- to Ground.