Curve Sketching Rules Flashcards
1
Q
f’ > 0
A
f is increasing
2
Q
f’ < 0
A
f is decreasing
3
Q
f’ changes from + to -
A
f has a max
4
Q
f’ changes from - to +
A
f has a min
5
Q
f’ does not change signs
A
no max or min, maybe bottoming out
6
Q
f” > 0
A
f’ is increasing
7
Q
f” > 0
A
f is concave up
8
Q
f” < 0
A
f’ is decreasing
9
Q
f” < 0
A
f is concave down
10
Q
f’ is decreasing
A
f is concave down
11
Q
f’ is increasing
A
f is concave up
12
Q
f inflection point
A
f” changes signs
13
Q
f inflection point
A
f changes concavity
