Question
Find the average rate of change of f(x)=2x2−7 between each of the pairs of points below.
Between (3,11) and (6,65)
Between (b,m) and (s,u)
Between (x, f(x)) and (x+h, f(x+h))
Between (3,11) and (6,65)
Between (b,m) and (s,u)
Between (x, f(x)) and (x+h, f(x+h))
Answers
Mary
Please help, I´m having trouble with that. I have done it in some diffrent ways and it kept telling me is wrong.
Steve
The average rate of change is
change-in-y
------------------
change-in-x
So, you have
Between (3,11) and (6,65): (65-11)/(6-3) = 54/3 = 18
(b,m) and (s,u): (u-m)/(s-b)
(x, f(x)) and (x+h, f(x+h))
[f(x+h)-f(x)]/h
change-in-y
------------------
change-in-x
So, you have
Between (3,11) and (6,65): (65-11)/(6-3) = 54/3 = 18
(b,m) and (s,u): (u-m)/(s-b)
(x, f(x)) and (x+h, f(x+h))
[f(x+h)-f(x)]/h