Guest: f(t)=t^2+t what is the change in f(t) between t=2 and t=5
what is the average rate of change in f(t) between t=2 and t=5
f(2) = 4+2 =6
f(5) = 25 +5 = 30
so the change in f(t) over this interval is 30-6=24
Now, is this intended as a calculus question?
I am not really sure how I should interpret it but here goes.
the rate of change is given by f ' (t)
f ' (t) = 2t+1
f ' (2) = 5
f ' (5) = 26
so i suppose that the average rate of change is (26-5) / 3 = 7
I'm not really sure if this is what is needed.