Loosely speaking, a functional dependency expressed as x -> y
means, "When I know any value of x, I know one and only one value of y." So the value of x determines one and only one value of y.
To determine whether a functional dependency exists, you ask yourself the question, "If I know any value for x, do I know one and only one value for y?", and then answer it.
In your case, I'd guess that most of these additional functional dependencies will hold. It's hard to tell for sure, since there's no sample data, and since I don't know what the columns mean. (Trying to determine functional dependencies based solely on column names is very risky. Here, "startDate" could mean just about anything.)
referenceID -> startDate
referenceID -> endDate
referenceID -> caseType
referenceID -> caseTypeRate
clientID -> clientName
clientID -> clientAddress
clientID -> clientContact
otherPartyID -> otherPartyName
otherPartyID -> otherPartyContact
There are others.
Wikipedia has a concise example of a multi-valued dependency.