2. Critical Numbers
Increasing = graph moves up as we move to the right
Decreasing = graph moves down as we move to the right
If f '(x) > 0 on an interval (a, b) then f is increasing on that interval.
If f '(x) < 0 on an interval (a, b) then f is decreasing on that interval.
4. local/relative
maximum
points
local/relative
minimum
point
5.
6. ) increasing?
) increasing fastest?
) decreasing?
) decreasing fastest?
Note: -2 ≤ x ≤ 3
up? down?
Where does
local max? min?
7.
8.
9.
10. The graph of a function ƒ with domain [0, 10] is shown in the figure.
Several points are labeled.
(a) List all labeled points at which ƒ'(x) > 0.
(b) List all critical points of ƒ.
