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ANSWER:
-0.825
STEP-BY-STEP EXPLANATION:
To calculate the average rate of change we must calculate the values of f (x), with the help of the graph like this:
We apply the formula:
[tex]\begin{gathered} r=\frac{f(b)-f(a)}{b-a} \\ \text{ replacing} \\ r=\frac{2.1-3.75}{4-2}=\frac{-1.65}{2}=-0.825 \end{gathered}[/tex]Which means that the average rate of change for the graph is equal to -0.825