following statements regarding the brainstem are true and which are false? Damage to the medulla can be life threatening, because respiratoryef nd cardiovascular centers are found here. Many aspects of an infant's behavior are mediated by the brainstem. The medulla contains fibers linking the cerebral cortex and cerebellum. The midbrain contains reflex centers for sight and hearing. The pons contains reflex centers for coughing and sneezing.