Question 1062861: If the points on a graph are (6,0),(26,0) and (16,22) will point (11,16) intersect any of them?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Your question doesn't make a lot of sense. Points cannot intersect other points, so your question, as written, is nonsense. On the other hand, if you are asking whether the graph that contains the first three points also contains the fourth point, then the answer is "maybe".
The graph of
\ =\ 0.22x^2\ +\ 7.04x\ -\ 34.32)
DOES contain the points (6,0), (26,0), and (16,22), but does NOT contain the point (11,16).
But the graph of
\ =\ 0.0013x^3\ - 0.156x^2\ +\ 6.1493x\ -\ 30.992)
contains all four points. An infinite number of higher order polynomial functions have graphs that contain all four points. In general, if you have  points, a polynomial function of degree  will exist that contains all points in its solution set.
If you are asking some other question, I cannot conceive of what that might be and you are going to have to do a better job of explaining what you want.
John
My calculator said it, I believe it, that settles it
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