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3 years ago

Find the average rate of change of the function

Mathematics

2 answers:

max2010maxim [7]3 years ago

3 0

X1 = 4 so sqrt(4) = 2
x2 = 9 so sqrt(9) = 3
3-2 = 1

9-4 = 5

rate of change = 1/5

Darya [45]3 years ago

3 0

To the risk of being redundant

$\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
f(x)= \sqrt{x} \qquad 
\begin{cases}
x_1=4\\
x_2=9
\end{cases}\implies \cfrac{f(9)-f(4)}{9-4}\implies \cfrac{\sqrt{9}-\sqrt{4}}{5}
\\\\\\
\cfrac{3-2}{5}\implies \cfrac{1}{5}$

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