1: Indifference/inaction
2: Worship (i.e. recognize that they are superior and that we as mortals are inferior)
3: Following (i.e. trying to follow their path... it's more like a self-improvement thing compared to 'worship')
4: Do ut des (I give so that you will give) (transactional polytheism): a relationship with the gods based on offerings towards them so that they will give favors to us humans in return. Very transactional. The Romans did it.
5: Gratitude-theism: a relationship with the gods based on gratitude. The gods have already given us so much good stuff, so it's natural to display gratefulness towards them
6: Learn their teachings, and achieve new metaphysical knowledge.
7: Curse them, hate them.
7.1: Curse them on the basis that they are gods (maltheism/misotheism)
7.2: Curse only the ones that represent things one may oppose (e.g. war, famines, disasters, suffering, maybe death etc.) while being neutral or perhaps even admiring/worshipping the gods that represent things one may admire. In the case of elemental polytheism, it's currently unclear to me which elements one may oppose, as things like fire, water etc. can be both damaging or beneficial depending on the context.
8: Devotional polytheism: a relationship with the gods based on offering towards them... for nothing in return (really?!). But why?
8.1: A sense of identity? May be able to self-identify as "polytheist" and get bragging rights... but why? You're a polytheist with the other approaches as well. Perhaps an explanation is that you'd like to receive something from the gods, but the gods are not giving you any gift... (or maybe they did and you just didn't notice?)
8.2: Unspecified reason.
8.3: Purely for the love/devotion towards the gods (or some gods).
9: Des (you give) (perhaps very similar to #5 gratitude-theism?): a relationship with the gods based on their offering towards you.
9.1. (identical to #5 gratitude-theism?): the gods have already given you so many things, the only thing to do is to recognize it, and not take the "little pleasures" for granted.
9.2: the gods will give you good things in the future, you don't have to give the gods anything or do anything in particular. The gods will please you, sooner or later. But why haven't they done that already?
Etc. etc.