Answer:
6 goes with [-4,-2]
1 goes with [-2,1]
2 goes with [-3,1]
4 goes with [-4,0]
Step-by-step explanation:
x f(x)
-----------
-4 -12
-3 -5
-2 0
-1 3
0 4
1 3
Before I continue, you need to know what f(a) means. f(a) means find x=a and the value that corresponds to it is f(a).
That is f(-4)=-12 from row 1.
That is f(-3)=-5 from row 2.
That is f(-2)=0 from row 3.
That is f(-1)=3 from row 4.
That is f(0)=4 from row 5.
That is f(1)=3 from row 6.
Average rate of change on
is given by the formula:
or you could use
.
So the average rate of change on [-4,-2] is given by
![\frac{f(-4)-f(-2)}{-4-(-2)}=\frac{-12-0}{-2}=6](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28-4%29-f%28-2%29%7D%7B-4-%28-2%29%7D%3D%5Cfrac%7B-12-0%7D%7B-2%7D%3D6)
The average rate of change on [-2,1] is given by
![\frac{f(1)-f(-2)}{1-(-2)}=\frac{3-0}{3}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bf%281%29-f%28-2%29%7D%7B1-%28-2%29%7D%3D%5Cfrac%7B3-0%7D%7B3%7D%3D1)
The average rate of change on [-3,1] is given by
![\frac{f(1)-f(-3)}{1-(-3)}=\frac{3-(-5)}{4}=\frac{8}{4}=2](https://tex.z-dn.net/?f=%5Cfrac%7Bf%281%29-f%28-3%29%7D%7B1-%28-3%29%7D%3D%5Cfrac%7B3-%28-5%29%7D%7B4%7D%3D%5Cfrac%7B8%7D%7B4%7D%3D2)
The average rate of change on [-4,0] is given by
![\frac{f(0)-f(-4)}{0-(-4)}=\frac{4-(-12)}{4}=\frac{16}{4}=4](https://tex.z-dn.net/?f=%5Cfrac%7Bf%280%29-f%28-4%29%7D%7B0-%28-4%29%7D%3D%5Cfrac%7B4-%28-12%29%7D%7B4%7D%3D%5Cfrac%7B16%7D%7B4%7D%3D4)