a.Linear
b. Non-linear
1) Let's calculate these differences so that we can tell whether these are linear or non-linear functions from these tables
2) So, setting the tables we've got:
a)
x | y First Differences
-2| -5 -5 - (-2) = -5 +2 = -3
-1| -2 -2 - 1 = -3
0| 1 1-4 = -3
1| 4
Since the first differences yield the same result, -3 then we can tell this is a Linear Relation.
b) Examining the second table we've got
x| y First Difference
2 10 10-5 = 5
4 5 5-2 =3
6 2 2-1 = 1
8 1
Then, as we can see this is a non-linear relation.