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Question:
when we check circular graph ,is the graph is a graph of function or not then as mam said ,for that draw a line parallel to y axis,then if we draw a line such that it intersect x-axis and circumference of circle,so on that point this graph shows it is a graph of function or not?
Answer:

For Function, the line parallel to Y-axis should cut only at one point through out its domain, not at only one point. 

You are thinking in a very good manner as, at one point on its circumference, but only at that point it will be function not for the whole domain, i.e., for whole radius.

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