For the point time recovery or in case of failure it is essential that you should have the backup history of the database. You can execute the below query against the database to get the backup history.
SELECT CONVERT(CHAR(100), SERVERPROPERTY('Servername')) AS Server, msdb.dbo.backupset.database_name, msdb.dbo.backupset.backup_start_date, msdb.dbo.backupset.backup_finish_date, msdb.dbo.backupset.expiration_date, CASE msdb..backupset.type WHEN 'D' THEN 'Database' WHEN 'L' THEN 'Log' END AS backup_type, msdb.dbo.backupmediafamily.logical_device_name, msdb.dbo.backupmediafamily.physical_device_name, msdb.dbo.backupset.name AS backupset_name, msdb.dbo.backupset.description FROM msdb.dbo.backupmediafamily INNER JOIN msdb.dbo.backupset ON msdb.dbo.backupmediafamily.media_set_id = msdb.dbo.backupset.media_set_id WHERE (CONVERT(datetime, msdb.dbo.backupset.backup_start_date, 102) >= '2013-01-08 00:04:49.000') and (CONVERT(datetime, msdb.dbo.backupset.backup_start_date, 102) <= '2013-01-08 23:59:59') and msdb.dbo.backupset.database_name = 'Mention the database name' ORDER BY msdb.dbo.backupset.backup_finish_date desc