Question

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

y=e^x between x=−2 and x=0

Answer 1

Answer:

The average rate of change for the function over the given integral

$A(x) = \frac{e^{-2} -1}{2}$

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

$A(x) = \frac{f(b)-f(a)}{b-a}$

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

$A(x) = \frac{e^{-2} -1}{0-(-2)}$

The average rate of change for the function over the given integral