Which table represents a nonlinear function? x y 2 -9 4 1 6 11 x y 2 -14 4 -16 6 -18 x y 2 0 4 6 6 16 x y 2 -9 4 -6 6 -3

 The third table represents a nonlinear function

x  y

2  0

4  6

6 16

Step-by-step explanation:

We know that for a nonlinear function, the rate of change of y is not constant w.r.t x.

The rate of change of y w.r.t. x is given by :-

For Table 1.

The rate of change of function is given by :_

Thus , the rate of change is constant through out the function, hence it is not representing a nonlinear function.

For Table 2.

The rate of change of function is given by :_

Thus , the rate of change is constant through out the function, hence it is not representing a nonlinear function.

For Table 3.

The rate of change of function is given by :_

Thus , the rate of change is not constant through out the function, hence it is representing a nonlinear function.

For Table 4.

The rate of change of function is given by :_

Thus , the rate of change is constant through out the function, hence it is not representing a nonlinear function.

a: 1/6, j: 1/4

step-by-step explanation: you are welcome