For some reason the desmos engine doesn't do mod(x,3)=0, perhaps it's graphing an infinately small point. If you allow the value of the modular function to be less than a small number, say, mod(x,3)<0.01, then you will see the points you expect.
Verbatim is defined as an exact repetition without changing the words. An example of verbatim is when you quote someone exactly without changing anything. word for word; in exactly the same words. Origin of verbatim.
it's more figurative language than hyperbole. Hyperbole is an exaggeration like walking into a candy shop and saying, I'm going to eat all of the chocolate!, or getting off a ride and saying, We went a million feet in the air!. Though the exclamation marks are unnecessary, the point is that there is exaggeration.