Answer:
- 2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 2, - 1 ] , then
f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )
f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus
average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2
