Answer:
Average rate of change = 10
Explanation:
Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
a = 2
f(a) = f(2) = (-2)² + 3(2) + 1 = 4 + 6 + 1
f(a) = 11
b = 5
f(b) = f(5) = (-5)² + 3(5) + 1 = 25 + 15 + 1
f(b) = 41
Thus:
Average rate of change = [tex] \frac{41 - 11}{5 - 2} [/tex]
[tex] = \frac{30}{3} = 10 [/tex]
Average rate of change = 10
