Question

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

Answer 1

31

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