Which table represents a nonlinear function?

Table 2 is the nonlinear graph.

Step-by-step explanation:

In the given tables if we see the values of x, y is in an arithmetic sequence then graph will be linear.

For example in table 1

x        0       1       2      3  

y      -19     -11     -3      5

Difference in y values

d = -11 - (-19) = 8

d = -3 - (-11) = 8

There is a common difference of 8 therefore the graph will be of a linear function

Now for Table 2

x        0        1        2         3

y     -1.5      1.5      3        4.5

If we calculate the difference in the values of y

d = 1.5 - (-1.5) = 3

d = 3 - 1.5 = 1.5

Difference is not same therefore the graph is a nonlinear function

For Table 3

x        0         1        2       3  

y        15      12       9       6

Difference in y values

d = 12 - 15 = -3

d = 9 - 12 = -3

Since difference is same so function will be a linear function.

Therefore table 2 is the nonlinear graph.