Solution:
we have been asked to find the average rate of change of f(x) = 3x^2 + 2x + 1 for 2 ≤ x ≤ 4.
Average rate of change of a function [tex] =\frac{f(b)-f(a)}{b-a} [/tex] over the interval [a,b].
[tex] Average \ Rate \ of \ Change= \frac{3*4^2+2*4+1-3*2^2-2*2-1}{4-2}\\
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Average \ Rate \ of \ Change= \frac{40}{2}=20\\ [/tex]
The average rate of change of f(x) = 3x^2 + 2x + 1 for 2 ≤ x ≤ 4 is 20
