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14-01-2019
Mathematics

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The graph of the function [tex]f[/tex] is shown here. What is the average rate of change of

[tex]f`[/tex] on the interval [-4, 6]? A)1/5 B)2/5 C)3/5 D)4/5

The graph of the function texftex is shown here What is the average rate of change of texftex on the interval 4 6 A15 B25 C35 D45 class=

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LammettHash LammettHash

14-01-2019

According to the plot, [tex]f(-4)=0[/tex] and [tex]f(6)=2[/tex]. So the average rate of change of [tex]f(x)[/tex] on the interval [tex][-4,6][/tex] is

[tex]\dfrac{f(6)-f(-4)}{6-(-4)}=\dfrac{2-0}{6+4}=\dfrac2{10}=\dfrac15[/tex]

and the answer is A.

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