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Linear function:

No variable appears in the function to any power other than 1.

A periodic input produces no new frequencies in the output.

The function's first derivative is a number; second derivative is zero.

The graph of the function is a straight line.

Non-linear function:

A variable appears in the function to a power other than 1.

A periodic function at the input produces new frequencies in the output.

The function's first derivative is a function; second derivative is not zero.

The graph of the function is not a straight line.

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Q: What is the difference between nonlinear and linear functions?
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