
The number of polynomial function that have graphs that passes through the given set of points, no two of which are on the same vertical line.

Explanation of Solution
There is only one polynomial function that has graphs that passes through the given set of points, no two of which are on the same vertical line. If the polynomial function passes through n points, then the polynomial function will have (n-1) degree.
For determining the polynomial equation that passes through the given set of points, we first take the standard equation. Then for each point we plot the value of x and y in the equation and find the constants. Thus we get the desired equation.
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