Question

Determine the average rate of change of f(x) = 4x²+x+3 over the interval [-2, 2].

Answer 1

Answer: The average rate of change is 1.

Explanation:

The average rate of change f(x) on the interval [a,b] is (f(b)−f(a))/(b−a)

a=−2 , b=2, f(x)=4X^2+x+3.

(f(b)-f(a))/(b-a)= (3+(2)+4(2)^2-(3+(-2)+4(-2)^2)) / (2-(-2)) = 1