For any set of
This principle confirms that any two points determine a unique line. Three points that are not on a line determine a unique parabola. Four points that are not on a line or a parabola determine a unique cubic, and so forth.
What polynomial function has a graph that passes through the four points
How can you use the four points to find a system of equations?
Substitute each point into a polynomial function.
Step 1 By the
Substitute the x- and y-values of the four points to get four linear equations in four unknowns.
Step 2 Write the system in augmented matrix form. Use the RREF() function to find the coefficient values a, b, c, and d.
Check Use CUBICREG with the four given points.
The solution checks.