The table 3 is the nonlinear function.
To choose the table represents a non-linear function.
What is function?
A function is defined as a relation between a set of inputs having one output each.
Given that:
In the given tables 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 2 6 10 14
Difference in y values
d = 6-2 = 4d =10-6 = 4
There is a common difference of 4 therefore the graph will be of a linear function
Now for Table 2:
x 0 3 6 9
y -8 1 10 19
The difference in the values of y
d = 1-(-8) = 9d = 10-1 = 9
There is a common difference of 9 therefore the graph will be of a linear function
For Table 3:
x 0 1 2 3
y 4 5 8 13
Difference in y values
d = 5-4 = 1d = 8-5= 3
The common difference is not same therefore the graph will be of a non-linear function.
For Table 4:
x 0 1 2 3
y 5 6 7 8
Difference in y values
d =6-5 = 1d = 7-6= 1
There is a common difference of 1
Therefore the graph will be of a linear function.
So, the among the four table, table 3 is non-linear.
Learn more about function here:
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