I presume that you simply use yne and ene together with appropriate numbering.
So, for example, CH3CCCHCH2 (sorry, I don't know how to include the bonds) would be pent-3-yn(e)-1-ene or perhaps pent-1-en(e)-3-yne.
This is how we do it in Europe, but maybe elsewhere names such as 1-penten-3-yne are preferred
This is what I would surmise is the correct way to name, but I do not know for certain. Perhaps other correspondents can help.