Question

For the graphed function f(x) = -(5)* - 3 + 2, calculate the average rate of change from x = 3 to x = 4.

-2
-1

Answer 1

-4

Explanation:

The average rate of change from x=a to x=b of f(x) is
`(f(b)-f(a))/(b-a)`

The given function is
`f(x)=-5^(x-3)+2`.

`f(4)=-5^(4-3)+2=-3`.

`f(4)=-5^(3-3)+2=1`.

The average rate of change from x=3 to x=4 is given by:

`(f(4)-f(3))/(4-3)`

`(-3-1)/(4-3)=-4`