if it touches at three points it is a straight line. Since it is also an asymptote, it will be a straight horizontal line (zero slope)
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I would not say it is "needed," but basically the more points you have the better you can understand the graph. And three because its the recommmended minimum to get a gist of the graph, yet it will not take a lot of effort to plug in three numbers.
you should know this
' -6 ' and ' 6 ' are not points. On a 2-dimensional (flat) graph, you need two coordinates to locate one point. (On a 3-dimensional (solid) graph, you need three coordinates to locate one point. And there's no such thing as a 1-dimensional graph.)
In case any of the points has been miscalculated you will not have a straight line - alerting to to the fact that there is a mistake.
Line Graph.... Bar Graph... And some Scattered Dot Graph thing...........