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