Final answer:
Amazon RDS's automatic backup retention period can be set between 0 and 35 days, allowing restoration of the database within that time frame.
Step-by-step explanation:
The range of time that you can set the Amazon Relational Database Service (RDS) automatic backup retention period to be is between 0 and 35 days. When you set up an RDS instance, you have the option to choose how long you would like your backups to be retained, for the purpose of being able to restore your database to any point within that time frame. Setting it to 0 means you're choosing not to have automatic backups, while a value between 1 and 35 days ensures that your backup is retained for the specified period, giving you the flexibility to restore from a backup if needed.