Answer:
- 4
Step-by-step explanation:
The average rate of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 2, 2 ]
f(b) = f(2) = 9 ← from table value of f(x) for x = 2
f(a) = f(- 2) = 25 ← from table value of f(x) for x = - 2, thus
average rate of change = [tex]\frac{9-25}{2-(-2)}[/tex] = [tex]\frac{-16}{4}[/tex] = - 4
