If a (not necessarily continuous) function satisfies the intermediate value theorem, then we call it an intermediate value function. Now, is the sum of a continuous function with an intermediate value function always an intermediate value function?
This is a problem which I have no idea how to approach. I accept its closure as "missing context" if you think it is necessary, as the problem is very likely to be way beyond my scope of knowledge anyway, and I may be unable to understand its answer at all.
By the way, I think the answer is yes.
