- positive (- 2,0) U (0, 2), negative (- infinity, -2) U (2, + infinity)
- when f '(x) is positive f (x) is increasing, and when f ' (x) is negative f (x) is decreasing.
2.
- local max at about x=+1.10, - 1.10, local min at x=0
- locals are when there is a change in slope, tha point where it changes is the local
3.
- up at (- infinity, -1.10) U ( 0, 1.10), down (-1.10, 0) U ( 1.10, + infinity)
- it is up when it curves to look like a upside down "U", and its down when it curves to look like a "U"
4. f ' (x)= x^4 b/c the slope is moves/changes 3 times
1. short and sweet. =)
ReplyDelete2. my fault. I was asking for the extrema of f(x), not this graph.
3. hm. your answer is correct, but your explanation doesnt show how you can tell whether f is "upside down" or rightside up from THIS graph, f'(x).
4. yup! so what could f(x) be?