Explain how reactions involving carbon-containing compounds can contribute to the greenhouse effect.

The combustion of the carbon results in the generation of the carbon dioxide and the carbon monoxides. Other than this, the reaction of the carbon compounds also causes the release of methane. The reaction of the carbon with various substances also result in the formation of CFCs (Chlorofluorocarbons)

All the mentioned gases are well known green house gases. All the green house gases traps the heat in the earth's atmosphere and cause global warming.  

sorry, but you do not have posted the diagram.