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Order the intervals based on the average rates of change of the function below over theintervals. Place the interval corresponding to the greatest average rate of change on top.f(x) = x2[0, 8][2, 7][4, 6]

Respuesta :

for a function f defined on an interval, the average rate of change is

[0,8]

[tex]AV=\frac{8^2-0^2}{8-0}=\frac{64}{8}=8[/tex]

[2,7]

[tex]AV=\frac{7^2-2^2}{7-2}=\frac{49-4}{5}=\frac{45}{5}=9[/tex]

[4,6]

[tex]AV=\frac{6^2-4^2}{6-4}=\frac{36-16}{2}=\frac{20}{2}=10[/tex]

order interval:

[4,6] [2,7] and [0,8]

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