Answer :

Using it's concept, the average rate of change of the function over the interval [0, 3] is given as follows:

r = -8.

What is the average rate of change of a function?

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence, over an interval [a,b], the average rate of change is given by the equation presented as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

In the context of this problem, we want the average rate of change in the interval [0,3], hence the parameters are given from the table as follows:

  • f(0) = 4.
  • f(3) = -20.

Hence the average rate of change is given by:

r = (-20 - 4)/(3 - 0) = -24/3 = -8.

Missing Information

The table containing the numeric values of the function is given by the image at the end of the answer.

A similar problem, also about the average rate of change of a function, is given at https://brainly.com/question/24313700

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