Non-finite verb forms function

Could anyone please tell the functions of the bolded participles (raising, saying and displaying) in the following examples?

  1. ...and has continued with parliamentary duties this week, raising the possibility that he may have infected others. [Guardian]

  2. Not long afterwards, Hancock issued his own statement saying he too had tested positive. [ibid.]

  3. Prof Whitty, who had advised the prime minister to get tested, said he too was displaying symptoms. [ibid.]


[1] ...and has continued with parliamentary duties this week, [raising the possibility that he may have infected others].

[2] Not long afterwards, Hancock issued his own statement [saying he too had tested positive].

[3] Prof Whitty, who had advised the prime minister to get tested, said [he too was displaying symptoms].

I assume you mean grammatical functions, in which case I'm inclined to say:

In [1] "raising" is predicator (i.e. head) in the bracketed clause -- an adjunct with a resultative interpretation (note that "thus" could be added, as in "thus raising the possibility ..."

In [2] "saying" is predicator in the bracketed clause, functioning as modifier of "statement". The meaning is similar to the relative clause "which said he too had tested positive".

In 3. "displaying" is predicator in the clause "displaying symptoms", functioning as complement of "was" in the bracketed progressive aspect clause.

I think!