How can I change my computer name

Question

My work computer is named the previous person who had it who's not hear any more.
Now it says the name is: "his name -  my name"
How can I change the name to just my name?
Thx,
Steven

Answer 1

Thanks Eric. I note a few differences though.
First there is no "Users & Groups" icon in the top level of System Prefs. However while exploring I found under "Sharing" you can change the computer's name there. One would think it's in Accounts, but it's not. I did add myself as an Admin when I first got  here but that just appended my name with a hyphen to the previous employee name
So I changed Computer name to my name in the field in Sharing and then saw there's an Edit button. There you can change the lost hostname, whatever that is. I shouldn't do these things without knowing, I know, but I changed it but it doesn't allow spaces and adds hyphens. Since I have a Home comper, I named this work computer differently and hypens were added plus the suffix; .local.
There is a "Use dynamic global hostname checkbox which was unchecked so I left it that way. Do you know what the global hostname does and if I need to check it? What happens when you do?
Making the local hostname: my name-V1-Computer.Local, didn't change the Computer name field when you return to it. It still has the name I gave it before assigning the .local name.
But if I go into MM for example and then Advance to see which computers sync to MM, I see my home computer and work computer which is still named: previous emloyee's Computer - Steven Lastname (This Computer). So obviously the complete computer name hasn't changed.
The article you give above gets you to the Directory Utility in Utilities to change the Root info.
It says after open the lock icon: Enter an administrator account name and password, then click OK.
But the only thing to do in the main Directory Utility is: Add/configure a Directory server, again don't know what that does, but clicking it all you can do is set the drop down to: Open Directory or Active Directory, fill in the Server Name or IP Address field.
There are no fields for "enter admin account and pw" which I assume is me since I'm listed that way in Sys Prefs > Accounts, and the only Admin listed for this computer.
So I'm at an impasse. I don't see why this is all sy cryptic, but assume it's for security purposes. Well it's working. I can config my own computer
Am way of the beaten path? In a parallel universe? Or close?
Sorry for long email, but hopefully this will end up being a good tutorial for the next happless chap that can't rename his/her computer.