Answer:
- 2
Step-by-step explanation:
The rate of change of y = f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 2, 3 ]
f(b) = f(3) = 3² - 3(3) = 9 - 9 = 0
f(a) = f(- 2) = (- 2)² - 3(- 2) = 4 + 6 = 10, thus
average rate of change = [tex]\frac{0-10}{3-(-2)}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2
