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

B. Calculate the differences in y:




Calculate the corresponding differences in x:




Now, calculate the ratio :



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

C. Calculate the differences in y:

Click "Show Answer" to reveal the answer and analysis