Answer:
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.
