Character evidence, in the form of opinion testimony, is admissible under CCP art. 37.07 when that opinion was formulated from a specific extraneous offense that the jury was entitled to hear about. Both types of evidence are admissible in a punishment hearing, and there is no reason that they cannot be combined during punishment proceedings. Any complaint about the officer's opinion being based on a single encounter goes to the weight rather than the admissibility of such evidence. Sims v. State, PD-1575-07.