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Can you draw arrows on the ends of graphs that 'curve' since doing so would invalidate the fact that they are curvy (not straight) in the undrawn region (since you cannot draw curved arrows). What should I do for VCE?

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I think you're referring to circular functions, and in most cases concerning circular functions a domain will be given or you will be told to sketch a certain number of cycles, however if there is no domain, then no I don't think you have to.

But like I said, there will usually be a domain given.

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