Question

Use finite differences to determine if each relation is linear or quadratic. x: -4,-3,-2,-1,0,1,2. Y: -3,-1,1,3,5,7,9.

Answer 1

To determine if the relation is linear or quadratic, we need to calculate the differences between consecutive y-values for each pair of x-values.

First differences:
1-(-3)=4
3-1=2
5-3=2
7-5=2
9-7=2

Since the first differences are constant (2), this indicates that the relation is linear.