Calculate the average rate of change of f (x) = 4x^2 + 3x + 5 on the interval [2,5]

31

Step-by-step explanation:

Average rate of change = Δf (x) / Δx = {f (x2) - f (x1) } / (x2 - x1)

f (x2) - f (x1) = f (5) - f (a) = 4*5²+3*5+5 - (4*2²+3*2+5) = 4*25+15+5-16-6-5 = 93

x2-x1 = 5 - 2 = 3

average rate of change = Δf (x) / Δx = 93/3 = 31