Thread: finite differences to find out if it is linear or quadratic

1. finite differences to find out if it is linear or quadratic

how do you use finite differences to determine whether relation is quadratic or linear?

X, Y FIRST DIFFERENCE

(1,-33) -

(2,-31) 2

(3,-27) 4

(4,-20) 7

(5,-9) 11

Is this relation linear, quadratic OR neither and why?

2. 2nd differences are 2 , 3 , 4

3rd differences are a constant 1

it's cubic ...

$y = \frac{x^3}{6} + \frac{5x}{6} - 34$