When shooting a film, we shoot a sequence and then decide whether to take it or leave it. If we take it, that part remains as part of the end result. So to take is to claim, accept, incorporate into something bigger. We can do this when engaged in discussion when we take a point that is made or reject it. If we take it, then that point, idea, becomes part of what we then support. That which is taken becomes ours.
To take is to remove, like I take the flower from beside the path. I can take the offer you have made to sell your motorcycle and become the new owner. Negotiations are completed and I remove the motorcycle from your place and take it to my place. To take is to become the owner. Now about that flower, who owned it in the first place and is it right to take it? A new take on that, huh
Take on or take off? To take on is to accept responsibility for, like take on the organization of the company picnic. To take on is to absorb, not a casual or temporary flash in the pan kind of thing. That picnic responsibility is mine until the last bit of clean up is done. To take off is to remove, like take off my hat. It is also to go away, as in he took off after dinner without doing the dishes. Taking off is fast, not at all modest
Take up or take down? To take up is to adopt, to carry, to lift. I can take up smiling again or join (take on) a social movement in our community. Colin Kaepernick has taken up the fight against black oppression. To take down is to dismantle as in taking down the Berlin Wall. Take down equals stop, as in taking down a drug ring or stopping Enron from doing nasty stuff. To take down is to stop the other team
Take in or take out? Taking in refugees is to welcome them to Canada, to accept some responsibility for their wellbeing. To take in a concept is to find the aha of understanding. To take out is to remove from, such as to take out the trash. It can also mean to eliminate, like taking out a paragraph when editing an article. Gone. We can take some things seriously and take some with a grain of salt.