Establish appropriate algebraic models for each of the following sets of data. You can use technology to assist. Plot them on grids and demonstrate how you have established each model.

a)      (-3,40) (-2,27) (0,7) (1,0) (3,-8) (4,-9) (6,-5) (7,0) (8,7)

b)      (-3,-108) (-2,-45) (-1,0) (0,9)  (½ , - 45/8) (1,0) ( 3/2, - 45/8)  (5/2 , -63/8)  (3,0)  (7/2 , 135/8)

c)      (-4, ½) (-3, 2/5) (-2, ¼) (-1,0)  (- ½ , -1/5) (0, - ½) (1/4, -5/7) (2/3, - 5/4) (3/2, -5) (3,4)

d)      (- 4, - 448) (- 3, - 48) (- 2, 0) (- 1, - 40) (0, - 96)  (1, - 108)  (2, -64)  (3,0)  (7/2, 121/8)  (4,0)