A continuous graph.
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The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.
Well, honey, having all the parts of a graph clearly labeled and drawn is crucial because it helps the reader understand the data being presented. Without proper labels, your graph is about as useful as a screen door on a submarine. So, do yourself a favor and make sure you label that bad boy properly to avoid any confusion or eye-rolling from your audience.
Without any information on what the graph is, it is not possible to say.
A square by definition has lines of symmetry. Therefore a square cannot be drawn without any lines of symmetry.
You can determine one variable from the other at any given point for that motion, and differentiating the graph gives you the speed at any selected point. You can do this without the plot itself but a graph shows the relationship clearly and immediately.