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

Mathematics

1 answer:

ivann1987 [24]2 years ago

4 0

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

<h3>Average rate of change</h3>

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

<h3>Interval</h3>

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

Read more about average rate of change at:

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The coordinates of the endpoints of line segment C D are C(3, 8) and D(6, -1). Express the length of line segment C D in simples

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$\bf \textit{distance between 2 points}\\ \quad \\
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&x_1&y_1&x_2&y_2\\
% (a,b)
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% (c,d)
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\end{array}\qquad 
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\\\\\\
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\\\\\\
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\end{cases}
\\\\\\
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