Can anyone help me with my Calculus homework? Can anyone please help me find an equation that has the features given below?

Can anyone help me with my Calculus homework?Can anyone please help me find an equation that has the features given below?The following five points lie on a function: (1,20), (2,4), (5,3), (6,2), (10,1).Has three inflection points.There is at least one local maximum.There is at least one local minimum.There is at least one critical point that is not a given point.The curve is continuous and differentiable throughout.The equation is not a single polynomial, but most be a piecewise defined function.