Determine the average rate of change of f(x) over the interval −1≤x≤2. f(x)=x2+6
−1≤x≤2. f(x)=x^2+6
The average rate of change = [f(b) - f(a)] / [b - a ] where a = -1 and b= 2
f(2) = 2^2 + 6 = 10
f(-1) = (-1)^2 + 6 = 7 so
[10 - 7] / [2 - (-1)] = 3 / 3 = 1