Answer:
The average rate of change is [tex]=-4[/tex]
Step-by-step explanation:
The average rate of change from x=a to x=b of f(x) is given by;
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
We want to find the average rate of change of the function represented in the table from x=-2 to x=2.
[tex]=\frac{f(2)-f(-2)}{2--2}[/tex]
From the table f(-2)=25 and f(2)=9
The average rate of change from x=-2 to x=2 is
[tex]=\frac{9-25}{2--2}[/tex]
[tex]=\frac{-16}{4}[/tex]
[tex]=-4[/tex]
