What is the simplified form for the Average Rate of Change of the function f(x)= x^2 between x=−1 and x=−1+h?

Answer 1

Average Rate of Change
= (f(-1+h) - f(-1))/(-1+h - (-1))
= ( (h-1)^2 - (-1)^2)/h
= (h^2 - 2h + 1 - 1)/h
= h - 2

Answer 2

could you explain the steps you took?

Answer 3

you really need to review what the average rate of change means. It is the slope of the secant line.