Answer:
- [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The average rate of change of a function in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [a, b ] = [ - 2, 2 ]
with f(b) = 3 and f(a) = 5, thus
average rate of change = [tex]\frac{3-5}{2+2 }[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]