Problema Solution
Let f be the function defined by f(x)=3x^3-4x^2+x-2. find the average rate of change in f over the following intervals x=-6 to x= -2
Answer provided by our tutors
The average rate of change of f over [a, b] is defined by (f(b) - f(a)) / (b - a).
f(x)=3x^3-4x^2+x-2 on interval [-6, -2]
f(-6) = -800
f(-2) = -44
(f(-2) - f(-6)) / (-2 - (-6)) = 189
The average rate of change of f(x)=3x^3-4x^2+x-2 on interval [-6, -2] is 189.