as far as I understand almost anything can be interpreted as an imaginative journey. Pretty much if anything was imagined it counts, like in tomorrow when the war began none of that really happened and was quite imagined.
I've been told not to choose texts that are very literal though, try and...
isn't finding where f''(x) = 0 sufficient to finding an inflection point? Because if you have found the turning points and checked their concavity with f''(x), then you know where f''(x) = 0 in between those two points will be an inflection point.