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