A graph is discrete when one (or both) of the variables has discrete entries, its means that are entered number, without decimal part, so the graph has no continuity, the trace will be broken parts, not a single one.
beside a continuous graph is a graph where both variables are continuous, it means that their field's are de Real number, so the trace it's a continuous line.
Also we can differentiated because the range are points (in a discrete one) and all the numbers (in a continuous one).
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Some charts are graphs.
in probability, you only guess. while in graphs you only draw lines. but both are boring.
Linear graphs make straight lines. Non-linear graphs make thins like parabolas, hyperbolas, and ellipses.