OK, first off that picture is what is called a BACKGROUND SCAN. You leave the FTIR sample chamber empty except for room air. The IR goes through it and is absorbed in various frequencies. The bottom axis is in "wavenumbers" (basically just the inverse of the wavelength, the units are in cm^-1 so you can easily flip it and get the wavelength). The Y-axis is an arbitrary "absorbance" or "transmittance" values.
When you see the curve you are looking at water in the atmosphere and CO2 and other gases which absorb IR. That big valley in the middle labeled "CO2" is one of the bands that CO2 absorbs in.
WHen you run an FTIR you need to subtract out the background before you process the spectrum.
That OH stretch and H-O-H bending are related to water vapor in the air. The O=C=O asymetric stretch is due to CO2 molecules. IR is absorbed by the BONDS in these chemicals. THe bonds resonate at certain frequencies which allows them to absorb IR. It is also why N2 and O2 don't absorb significant IR. The bonds are, first off, symmetrical and also don't have the right features to absorb IR.
This is why the earth's black body temperature is NOT our current surface temperature. The greenhouse gases like H2O and CO2 and CH4 etc. absorb IR and help hold heat back near the surface.
The FTIR isn't there to tell you about global warming, just to show you how CO2 operates in regards to IR photons.