Identify the average rate of change over the interval [-2,-1]

Question

Identify the average rate of change over the interval [-2,-1]

Answer 1

average rate of change = (y2 - y1)/(x2 -x1)

for the omterval -2 to -1, that simplifies to y2-y1 = slope of secant line

instantaneous rate of change = derivative = y' = slope if tangent line

Answer 2

Hi Katime, I believe you are missing the equation (y = mx+b) or f(x) = ... needed to solve this problem. So far you have..

Average rate of change =

A(x) = f(b)-f(a)/(b-a)

a= -2

b= -1

If you provide the equation, you can plug b and a into it to get the answer.