Determining cut offs frequencies of band-pass filter
If the two cut-off frequencies are quite a distance apart then R2 (or C1) largely determines the point at which the high frequencies start to become attenuated and C2 (or R1) determines the low frequency below which frequencies are progressively attenuated. Yes, it's a band pass filter.

If the two frequencies are close then it becomes a poor band pass filter and is best visualized using something like LTSpice. 

For this to be an effective BPF you have to consider mid-band attenuation - you would want to design it so that mid-band gain attenuation is not significant. To this end it is clear that R2 should be significantly smaller than R1 or you will get mid-band attenuation that is significant and generally detrimental. For those same reasons you would want C2 to be significantly larger than C1. This basically informs you that having the upper and lower frequencies quite close gives you mid-band attenuation up to 6 dB.

Based on that you clearly want upper and lower frequencies to be at least a decade apart and the upshot of this is you can analyse the two cut-offs almost without any interaction effects.