Which table represents a nonlinear function? x y
−5 7
−2 6
1 5
7 3

x y
−2 −1
0 1
2 3
5 6

x y
−3 3
0 0
6 −6
10 −10

x y
−7 −3
−5 0
0 3
4 1

the last one is non-linear

Step-by-step explanation:

the other 3 tables have all constant (the same) change rates of y change / x change for all their point intervals.

the first table shows for every increase of x by 3, y decreases by 1.

the second table shows for every increase of x by 2, y also increases by 2. that automatically means that this is also 1/1, 3/3, ...

the third table shows for every increase of x by 3, y decreases by 3.

but the fourth table shows a varying change rate from point interval to point interval :

x increases by 2, y increases by 3 : ratio 3/2

x increases by 5, y increases by 3 : ratio 3/5

x increases by 4, y decreases by 2 : ratio -2/4 = -1/2

they are all different.

but for a linear function they must be all equal.

14

step-by-step explanation: