The three branches of the science of behavior analysis are the

Behaviorism,applied behavior analysis (ABA)  and experimental analysis of behavior (EAB) are the branches of behavior analysis

Explanation:

Behavior analysis is the concept through which experimentation and research is carried out to investigate factors impacting behavior of a person .This concept has three phases of behavior analysis such as applied behavior analysis (ABA), experimental analysis of behavior (EAB) and behaviorism.

manifest functions are the recognized and intended consequences of any social pattern, while latent functions are those unrecognized and unintended consequences. to analyze the manifest functions of any social institution, we have to study its contribution to the continuation of a group, community, or society.