Question

For the graphed function f(x) = (2)x + 2 + 1, calculate the average rate of change from x = −1 to x = 0. a graph of an exponential function that goes through the points negative 2 comma 2, negative 1 comma 3, and 0 comma 5 −2 2 3 −3

Answer 1

2

Explanation:

i took it a couple weeks ago and can confirm its right

Answer 2

2 is the average rate of change of the function
`f(x)=2^(x+2)+1` from
`x=-1` to
`x=0`.

Explanation:

I assume you meant
`f(x)=2^(x+2)+1` based off the points.

We are given that
`(-1,3)` and
`(0,5)` are points on this curve.

We are asked to find the average rate of change (the slope) from
`x=-1` to
`x=0`.

We have the two points needed to find the slope.

We just need to line them up and subtract vertically then put 2nd difference on top of 1st difference.

`(-1,3)`

`(0,5)`

--------------------Subtracting!

`-1,-2`

So the slope is
`(-2)/(-1)=2`.