Assuming that the independent variable (often called "y") is along the vertical axis: to be a function, no vertical line may cross the graph in more than one place.
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The graph will be that of a straight line with the basic form of y=mx+b.
the graph is called a line
A sine graph!
A cubic graph!
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.