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It can be continuous or discrete.
If you can trace the graph without lifting your pencil then it is continuous.
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.
Discrete and Continuous GraphThis will be a very basic definition but understandable one 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).
The opposite of a discrete graph is a continuous graph. A continuous graph is where one of the variables (usually time) can continue on past what the graph says. An example would be if some one was traking the weather hour be hour. They could stop the graph at one point, but the information carries on. A discrete graph is where niether of the variables could be carried out past the graph. An example would be a shirt sale graph of how many shirts for a certain amount of money. Technically, you could have five dollars for half a shirt but realistically, you wouldn't cut a shirt in half