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

Explanation:

The average rate of change is
`(f(b)-f(a))/(b-a)`. Since a=-1 and b=1. We can plug them into the equation and solve.

`([1^2-1-1][(-1)^2-(-1)-1)])/(1-(-1)) =((-1)(1))/(2) =-(1)/(2)`