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Sagot :
Answer:
The average rate of change for the function over the given integral
[tex]A(x) = \frac{e^{-2} -1}{2}[/tex]
Step-by-step explanation:
Explanation
Average rate of a function:-
We can define the average rate of change of a function from a to b
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
Given function f(x) = eˣ
Given interval x = a = -2 and y = b = 0
f(a) = f(-2) = e⁻²
f(b) = f(0) = e⁰
[tex]A(x) = \frac{e^{-2} -1}{0-(-2)}[/tex]
The average rate of change for the function over the given integral
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