{(-6,4),(-3,8),(1,-24),(2,-12),(6,-4)} 

Assume a polynomial equation of one less degree than the number 
of points given.  There are 5 points given, so we assume a 4th 
degree equation:



Substituting each of the five given points into that equation:







That becomes the system:

        

Solve that system of equations and get

, , , , 

So the equation 



becomes



and the graph of it is:



-------------------

Your second problem is done the same way.  The answer is



Edwin