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| PAGE: 125 | SET: Exercises | PROBLEM: 25 |
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 |
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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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