Of course, apart from the story mode that's quite entertaining and will allow you to do something more than just killing, you also have a really addictive 'survival' mode where you have to try and break your own records by killing zombies and endure their assaults in scenarios as peculiar as... a Super Mario Bros screen.
To defend yourself from all of these attacks you can count on a wide arsenal of weapons that include the survival machete, the pistol or the shotgun. All of them are essential to hold out as long as possible.
Extermination is a very entertaining game that thanks to a simple control system gets to be very addictive. Killing zombies has never been this fun.