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Nostrana [21]
1 year ago
10

Determine the instantaneous rate of change without using derivatives please

Mathematics
1 answer:
Fittoniya [83]1 year ago
5 0

we have the function

f(x)=\frac{x}{x-2}

To find out the instantaneous rate of change without using derivatives, we need two points

For x=0

f(0)=\frac{0}{0-2}=0

The first point is (0,0)

For x=-1

f(-1)=\frac{-1}{-1-2}=\frac{1}{3}

The second point is (-1,1/3)

Find out the slope

\begin{gathered} m=\frac{\frac{1}{3}-0}{-1-0} \\  \\ m=-\frac{1}{3} \end{gathered}

therefore

<h2>The instantaneous rate of change is -0.33</h2>

Verify the answer with the exact answer (with derivative)

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