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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

Respuesta :

Answer:

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

Step-by-step explanation:

I assume you meant [tex]f(x)=2^{x+2}+1[/tex] based off the points.

We are given that [tex](-1,3)[/tex] and [tex](0,5)[/tex] are points on this curve.

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

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.

[tex](-1,3)[/tex]

[tex](0,5)[/tex]

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

[tex]-1,-2[/tex]

So the slope is [tex]\frac{-2}{-1}=2[/tex].

Answer:

2

Step-by-step explanation:

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

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