Part A
The minimum value is (3,-4)
Looking at the first differences
x 0 1 2 3 4
y 5 0 -3 - 4 -3
1st difference
-5 -3 -1 1
2nd difference
+2 +2 +2
The 2nd difference is the same so this is a quadratic equation
Part B
x 2 5 6 8 10
y 5 14 17 23 29
Slope
(9/3 =3), (3/1) (6/2=3) (6/2) =3
The slope is the same so the function is linear
Part C
x -3 -2 -1 0 1
y 8 4 2 1 1/2
We multiply by 1/2 each time
8*1/2 = 4 * 1/2 = 2 * 1/2 =1 * 1/2 = 1/2
This means that it is an exponential function
