Observational Tests of AGN Feedback: An Overview of Approaches and Interpretation Chris M. Harrison and Cristina Ramos Almeida review observational approaches to study AGN feedback, which is a key process in galaxy formation models. AGN feedback involves energy from supermassive black holes (SMBHs) influencing their host galaxies and environments. This process is crucial for explaining observed galaxy properties. The review highlights the diversity of observational studies needed to understand the physical mechanisms coupling AGN energy to multi-phase gas and to detect AGN's impact on galaxy evolution. Observations at various spatial, temporal, and temperature scales are essential, with radio emission playing a key role in identifying feedback mechanisms. The review discusses challenges in interpreting observations in the context of theoretical models, noting the lack of consensus on the relative importance of different feedback mechanisms. It emphasizes the importance of multi-wavelength and statistical studies to understand AGN feedback across different galaxy populations. The review also addresses the complexity of AGN feedback, involving multiple spatial scales and energy injection mechanisms. It discusses the importance of radio surveys in identifying AGN feedback and the challenges in distinguishing between AGN and star formation related emissions. The review concludes that observational studies are essential for testing theoretical models of AGN feedback and understanding its impact on galaxy evolution.Observational Tests of AGN Feedback: An Overview of Approaches and Interpretation Chris M. Harrison and Cristina Ramos Almeida review observational approaches to study AGN feedback, which is a key process in galaxy formation models. AGN feedback involves energy from supermassive black holes (SMBHs) influencing their host galaxies and environments. This process is crucial for explaining observed galaxy properties. The review highlights the diversity of observational studies needed to understand the physical mechanisms coupling AGN energy to multi-phase gas and to detect AGN's impact on galaxy evolution. Observations at various spatial, temporal, and temperature scales are essential, with radio emission playing a key role in identifying feedback mechanisms. The review discusses challenges in interpreting observations in the context of theoretical models, noting the lack of consensus on the relative importance of different feedback mechanisms. It emphasizes the importance of multi-wavelength and statistical studies to understand AGN feedback across different galaxy populations. The review also addresses the complexity of AGN feedback, involving multiple spatial scales and energy injection mechanisms. It discusses the importance of radio surveys in identifying AGN feedback and the challenges in distinguishing between AGN and star formation related emissions. The review concludes that observational studies are essential for testing theoretical models of AGN feedback and understanding its impact on galaxy evolution.