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Find the average rate of change for the function over the given interval.

y=e^x between x=−2 and x=0

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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