Which of the following is a responsibility of the Board under the counseling act?

The responsibility of adopting health department rules falls under the board's statutory obligations as established in the counseling act. This task is crucial as it ensures that the practice of counseling adheres to the standards and regulations set forth to protect the public and guarantee ethical practices within the field. By adopting health department rules, the board helps to facilitate a regulatory framework that guides licensed counselors in their practice, ensuring that they operate within established guidelines that promote both competence and ethical behavior in their dealings with clients.

In contrast, the other options relate to functions that are typically outside of the immediate purview of a regulatory board for counseling. Controlling medical practices, managing operations of private clinics, and intervening in school counseling programs may involve other entities, such as health care regulators, clinic administrators, or educational authorities, respectively. Therefore, these responsibilities do not align with the specific duties assigned to the board under the counseling act.