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