Compare and contrast the words malfunction and dysfunction?

I attended a seminar last night and the speaker was stating that the Word Dysfunctional to mean bad, painful, abnormal functioning. I understand the Latin prefix of Dys is accurate displayed in this example. However she went on to use the Word Disfunctional as meaning the absence of functionality, which would be less severe than the previously mentioned spelling Dysfunctional.

So today I am searching for the spelling and meaning of the world Disfunctional...it appears to not be a Word recognized in the American dictionary.

Does anybody have any information which may be useful?