Question

Determine the average rate of change for 3x²-3x+1 over the interval [-5, 5].

Answer 1

Answer: The average rate of change is −3.

Explanation:

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

a=−5 , b=5, f(x)=3x2−3x+1.

(f(b)-f(a))/(b-a)= (1-3(5)+3(5)^2-(1-3(-5)+3(-5)^2)) / (5-(-5)) = -3