Respuesta :

The average rate of change over the interval is 2/9

How to determine the average rate of change?

The interval is given as:

-4 ≤ x ≤ 5

From the table, we have:

f(5) = 4

f(-4) = 2

The average rate of change is then calculated as:

[tex]m = \frac{f(5) - f(-4)}{5 --4}[/tex]

This gives

[tex]m = \frac{4 - 2}{5 +4}[/tex]

Evaluate

[tex]m = \frac{2}{9}[/tex]

Hence, the average rate of change over the interval is 2/9

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