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Most functions are continuous (connected line), and not just two points... 2 points are simply just coordinates on a graph, and would be very hard (perhaps impossible) to make into a function (unless you have a restricted domain)

I may be wrong, but I don't think I am

A function has to be a graph that can be expressed through an equation, and only has a max of one y coordinate for each x coordinate, although it may have zero

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Q: Why do come function graphs have just points and some have a line connected?
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