A graph has two axes, X and Y. A function can be seen on the graph based on the formula with X and Y representing certain properties in the formula.
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The Mandelbrot graph is generated iteratively and so is a function of a function of a function ... and in that sense it is a composite function.
No vertical line will intersect the graph in more than one point. The fundamental flaw is that no graph can show that it does not happen beyond the domain of the graph.
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.
A graph is a function if any vertical line intersects it at most once.
The answer depends on what the graph is of: the distribution function or the cumulative distribution function.