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The functions f(x), g(x), and h(x) are shown below. Select the option that represents the ordering of the functions according to their average rates of change on the interval 2−2≤x≤2 goes from least to greatest.

The Functions Fx Gx And Hx Are Shown Below Select The Option That Represents The Ordering Of The Functions According To Their Average Rates Of Change On The Int class=
The Functions Fx Gx And Hx Are Shown Below Select The Option That Represents The Ordering Of The Functions According To Their Average Rates Of Change On The Int class=

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SOLUTION:

The formula for the average rate of change of a function is;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For f(x);

[tex]\begin{gathered} m=\frac{30-(-10)}{2-(-2)} \\ m=10 \end{gathered}[/tex]

For (x):

[tex]\begin{gathered} m=\frac{10-46}{2-(-2)}= \\ m=-9 \end{gathered}[/tex]

For h(x):

[tex]\begin{gathered} m=\frac{h(2)-h(-2)}{2-(-2)} \\ m=\frac{(-2^2-5(2)+25)-(-(-2)^2-5(-2)+25)}{2-(-2)} \\ m=-5 \end{gathered}[/tex]

From this calculation, ranking the average rateof change from least to greatest, swe have;

[tex]g(x),h(x),f(x)[/tex]

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