Find the average rate of change of each of the following functions over the interval 1 < × < 5.h(x)=3(2)×

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04-11-2022
Mathematics

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Find the average rate of change of each of the following functions over the interval 1 < × < 5.h(x)=3(2)×

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KalleeG399498idn KalleeG399498idn · Answer 1 · 2022-11-04T00:30:44-04:00

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

[tex]\begin{gathered} A=\frac{f(5)-f(1)}{5-1} \\ A=\frac{8-(-4)}{4} \\ A=\frac{12}{4} \\ A=3 \end{gathered}[/tex][tex]\begin{gathered} B=\frac{g(5)-g(1)}{5-1} \\ B=\frac{30-(-2)}{4} \\ B=\frac{32}{4} \\ B=8 \end{gathered}[/tex][tex]\begin{gathered} C=\frac{h(5)-h(1)}{5-1} \\ C=\frac{96-6}{4} \\ C=22.5 \end{gathered}[/tex]

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