Answer:
12
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [a, b ] = [- 1, 1 ]
From the table
f(1) = 27 and f(- 1) = 3, hence
[tex]\frac{27-3}{1+1}[/tex] = [tex]\frac{24}{2}[/tex] = 12
The average rate of change of f(x) from −1 to 1 is 12.
We have given that the table,
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{F(b)-f(a)}{b-a}[/tex]
here [a, b ] = [- 1, 1 ]
From the table
f(1) = 27 and f(- 1) = 3, hence
bye using the formula of average rate of change we get,
[tex]\frac{27-3}{1+1} =\frac{24}{2}=12[/tex]
= 12
Therefore, the average rate of change of f(x) from −1 to 1 is 12.
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