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

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

`A(x) = (e^(-2) -1)/(2)`

Explanation:

Explanation

Average rate of a function:-

We can define the average rate of change of a function from a to b

`A(x) = (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) = (e^(-2) -1)/(0-(-2))`

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