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

Answer:

2

Step-by-step explanation:

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

Answer 2

Answer:

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

Step-by-step 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 $\frac{-2}{-1}=2$.