TODAY | May 19, 2013
>>> the jodi arias case continues to captivate the nation. this week, the woman convicted of killing her ex-boyfriend, travis alexander , is expected to address the jury. she could plea for mercy, or arias could ask them for the death penalty . miguel has more.
>> we would give anything to have him back. anything.
>> reporter: in court, travis alexander 's sister and brother told the jury their family has been destroyed.
>> he was so brutally murdered out of this world, my world.
>> reporter: this week, jodi arias will have her chance.
>> -- do find the defendant as to count one, first-degree murder, guilty.
>> reporter: the woman convicted of brutally murdering travis alexander , stabbing and shooting him to death, can make her plea to the same jury. but will she ask them to spare her life, or will she ask for the death penalty as she told a local fox television station minutes after her conviction?
>> i believe death is the ultimate freedom. so i'd rather just have my freedom as soon as i can get it.
>> reporter: in arizona, the jury must consider certain factors before sentencing someone to death.
>> the jury has to find that the crime was especially cruel. the arias jury has already found that. the jury would have to find that the aggravating factors outweigh the mitigating factors in order to impose the death penalty .
>> reporter: the jury has heard from arias before.
>> i just remember he had his hands around my neck and banging my head on the carpet.
>> reporter: she has broken down on the stand and wept from her seat, but it's done little to sway jurors. bloom, who watched the testimony, thinks it will be a hard sell for arias .
>> this is a jury that clearly has a strong dislike for jodi arias . it's going to ab very difficult road for her to get life in prison without the possibility of parole, rather than the death penalty .
>> reporter: this week, the defense team will fight for jodi arias ' life. while today it remains unclear what arias will say to the jury who convicted her. for "today," miguel almaguer, nbc news, los angeles .