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A continuous curve.
Frederick Bagemihl has written: 'Meier points and horocyclic Meier points of continuous functions' -- subject(s): Continuous Functions
If the variables are something continuous, then you should connect the points. For example, if it is your height and weight then since those variables are continuous it is necessary to connect the points plotted on the coordinate graph.
Continuous variables have an unlimited number of possibilities between two points. In the scientific realm, age is a continuous variable.
Polynomials are continuous everywhere, so there are not points of discontinuity.
A line.
It would be call the ARC.
The function is not continuous.
The wavelength.
A continuous line
A discrete graph.
A sphere