Question

PLEASE HELP

For the graphed function f(x) = −(3)x − 1 + 3, calculate the average rate of change from x = 1 to x = 3.

Answer 1

the formula would be ( f(x2) -f(x1) ) / ( x2 - x1 ) f(x2)= -6 , f(x1) = 2 , x2= 3 , x1= 1. so that is : (-6 - 2 ) / (3-1) = -8/2 = -4

Answer 2

The average rate of change is
`-4`

Explanation:

The given function is
`f(x)=-3^(x-1)+3`.

We want to find the average rate of change of this function from
`x=1` to
`x=3`.

This is the slope of the secant line joining the points
`(1,f(1))` and
`(3,f(3))`.

From the graph,
`f(1)=2` and
`f(3)=-6`

The average rate of change

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

`=(-6-2)/(3-1)`

`=(-8)/(2)`

`=-4`