Answer:
Option B.
Step-by-step explanation:
The given table of values is
x f(x)
-3 -2
-2 0
-1 2
0 2
1 0
2 -8
3 -10
4 -20
We need to find the interval for which the function f(x) is positive.
From the given table it is clear that the value of function f(x) is negative before -2 and after 1.
The function positive between x=-2 and x=1. So, we can conclude that the function f(x) is positive for the interval (-2,1).
Therefore, he correct option is B.
5b^3 sq rt of a
There's not enough a's
Average rate of the function: 3
Step-by-step explanation:
The function in this problem is
![f(x)=4^{x-1}+2](https://tex.z-dn.net/?f=f%28x%29%3D4%5E%7Bx-1%7D%2B2)
The average rate of change of a function over an interval
is given by
![r=\frac{f(x_2)-f(x_1)}{x_2-x_1}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bf%28x_2%29-f%28x_1%29%7D%7Bx_2-x_1%7D)
where
are the values of the function calculated in
respectively
For the function in this problem we have:
, so
![f(x_1)=f(1)=4^{1-1}+2=4^0+2=1+2=3](https://tex.z-dn.net/?f=f%28x_1%29%3Df%281%29%3D4%5E%7B1-1%7D%2B2%3D4%5E0%2B2%3D1%2B2%3D3)
, so
![f(x_2)=f(2)=4^{2-1}+2=4^1+2=4+2=6](https://tex.z-dn.net/?f=f%28x_2%29%3Df%282%29%3D4%5E%7B2-1%7D%2B2%3D4%5E1%2B2%3D4%2B2%3D6)
So, the average rate of change is
![r=\frac{6-3}{2-1}=\frac{3}{1}=3](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B6-3%7D%7B2-1%7D%3D%5Cfrac%7B3%7D%7B1%7D%3D3)
Learn more about rate of change:
brainly.com/question/4152194
brainly.com/question/12941985
#LearnwithBrainly
The attached shows the two plots. The break-even points are near
x = 21
x = 256