Suppose we have the points A = [0, 1],B = [1,3], 0 = [2, 2] and D = [31 2] (you may have to move D in the GeoGebra app). These points are joined by the functions 11(3) = 1 + 2: + :2 2:3 (blue) on the interval [0,1] (1(3) : 5:: 232 (red) on the interval [1, 2] and 111:] = 112:3 + [12:2 + cm + d (black) on the interval [2, 3]. The cubic polynomials p and q: 1. meet at the point B 2. share the same rst derivative at B, namely mm:- 3. share the same second derivative at B, namely mem- Now we can nd try to nd the cubic polynomial 113) which passes through C and D and agrees with (1(3) at 0 up to its second derivative. Can you nd mew Note: Don't forget that you might need to move D in the GeoGebra app