Question

f(x)=x²-x-1 What is the average rate of change of f over the interval -1 ≤ x ≤ 1?

Answer 1

Answer: -1/2

Step-by-step explanation:

The average rate of change is $\frac{f(b)-f(a)}{b-a}$. Since a=-1 and b=1. We can plug them into the equation and solve.

$\frac{[1^2-1-1][(-1)^2-(-1)-1)]}{1-(-1)} =\frac{(-1)(1)}{2} =-\frac{1}{2}$