Question

22. What is the average rate of change over the interval (-3, 2)? SEE EXAMPLES​

Answer 1

The average rate of change over the interval (-3, 2) is 1

Average rate of change

The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation

Interval

The interval is given as: (-3,2)

From the graph, we have:

• f(-3) = -5
• f(2) = 0

So, the average rate over these intervals is calculated as:

$m = \frac{f(b) - f(a)}{b -a}$

This gives

$m = \frac{f(-3) - f(2)}{-3 -2}$

Substitute known values

$m = \frac{-5- 0}{-3 -2}$

Simplify

$m = \frac{-5}{-5}$

$m =1$

Hence, the average rate of change is 1

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