Question

Calculate the average rate of change of f(x) = 3x2 + 2x + 1 for 2 ≤ x ≤ 4. A) 10 B) 20 C) 37 D) 40

Answer 1

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 $=\frac{f(b)-f(a)}{b-a}$ over the interval [a,b].

$Average \ Rate \ of \ Change= \frac{3*4^2+2*4+1-3*2^2-2*2-1}{4-2}\\ \\ Average \ Rate \ of \ Change= \frac{40}{2}=20$

The average rate of change of f(x) = 3x^2 + 2x + 1 for 2 ≤ x ≤ 4 is 20

Answer 2

(im typing a few words for me to anwser) its B