The document defines respiratory failure as a syndrome where the respiratory system fails to meet gas exchange functions, outlining four types: hypoxemic, hypercapnic, peri-operative, and shock. It details the mechanisms, causes, and underlying issues related to each type, including conditions like ventilation/perfusion mismatch, hypoventilation, and shunts. Additionally, it discusses the implications of oxygen and carbon dioxide levels in blood, emphasizing the diagnostic significance of the alveolar–arterial gradient in assessing hypoxemia.