Question

What is the average rate of change of f over the interval -4≤x≤5

Answer 1

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:

$m = \frac{f(5) - f(-4)}{5 --4}$

This gives

$m = \frac{4 - 2}{5 +4}$

Evaluate

$m = \frac{2}{9}$

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

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