Algebra-1

To determine if the function represented is linear or nonlinear, we check if there is a constant rate of change (slope) between corresponding values of x and y.

A. Calculate the differences in y:

 

Calculate the corresponding differences in x:

 

Now, calculate the ratio :

Since the ratio is constant, the function represented by this table is not nonlinear.

 

B. Calculate the differences in y:

 

Calculate the corresponding differences in x:

 

Now, calculate the ratio :

Since the ratio is constant, the function represented by this table is not nonlinear.

 

C. Calculate the differences in y:

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