What is the difference between a linear function and a nonlinear function? explain what each looks like when represented as a table and as a graph.

The correct answer is:

A linear function has a constant rate of change, while a non-linear function does not have a constant rate of change.

Explanation:

As the name implies, a linear function will graph as a straight line. Since it is a straight line, this means that the distance between any two consecutive points must be the same; it must go up or down the same amount between each pair of points, or it will not form a straight line.

This means that a table of a linear function will have consecutive values that either increase or decrease by the same amount.

A non-linear function, on the other hand, will not have these things. It will not graph as a straight line, and each pair of consecutive points will not increase or decrease by the same amount. Instead, they will increase or decrease by different amounts.

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