g(t)=2+cos t; [0,pi]

Can you help me find the average rate of change of the function over the given interval?

1 answer

There is no rate of change of the number 2
Graph cos t from 0 to pi
1 at t = 0
0 at t = pi/2
-1 at t = pi
so it drops
now the average rate of change is the function at pi - the function at t all divided by the time, pi
function at pi = -1
function at 0 = +1
(-1 - 1 )/pi = -2/pi