Given a graph of a function, explain how to find the rate of change and how to determine whether it is a linear or nonlinear function.

A linear function is represented using a straight line.

To calculate the rate of change of a function, pick any two points on the graph and apply the following formula for rate of change

Take for instance:

The rate of change (m) is:

So, the rate of change is 2

To check if the function is linear or not.

Pick another point on the graph, then calculate the slope using the same formula.

Let another point be:

The rate of change using the following points:

and

is as follows:

Since the rate of change is unchanged (i.e. 2) in both computations, then the function is linear.

If the value changes, then the function is nonlinear.

Read more about linear and nonlinear functions at:

link

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step-by-step explanation:

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