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Functions can be described using their domains. A domain can generally either be a maximal domain or a restricted domain. Maximal domains involve natural limitations on the function itself, like not being able to divide by zero or calculating the square root of a negative number. You would only exclude from the domain what cannot naturally occur.

Restricted domains using manmade or unnatural limitations, such as limiting a straight line between x=2 and x=6. The line is chopped due to the restrictions placed on its x-values or domain.

An implied domains is not a domain at all. It is simply the need to find a domain when it is not given to you in the question. So you can either have an implied MAXIMAL domain or an implied RESTRICTED domain. There are only types. It's just a matter of whether it's given to you or if you need to imply it yourself.

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