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Step-by-step Answer
PAGE: 125SET: ExercisesPROBLEM: 25
Please look in your text book for this problem Statement

Determine whether the given function is linear or non linear.

First compute the average rate of change of  with respect to  and then compute the ratio of the consecutive outputs.

If the average rate of change is constant, then the function is linear else non-linear.

                                         Average rate of change                           

                    

                                                                       

                  

                                                                            

               

                                                                           

               

                                              

                         

Observe the table.

For the given function, the average rate of change is to is  and from to is .

Since the average rate of change is not constant, the function is a non-linear function.

The function is  non-linear.



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