The graph of the derivative f \' of a continuous function f is shown below. (a)
ID: 2851220 • Letter: T
Question
The graph of the derivative f ' of a continuous function f is shown below.
(a) On what interval(s) is f increasing? (Select all that apply.)
(0, 1) (0, 2) (1, 6) (5, 7) (6, 8) (7, 9) (8, 9) none of these
On what interval(s) is f decreasing? (Select all that apply.)
(0, 1) (0, 2) (1, 6) (2, 3) (3, 5) (5, 7) (6, 8) (7, 9) (8, 9) none of these
(b) At what value(s) of x does f have a local maximum? (Select all that apply.)
0 1 2 3 5 6 7 8 none of these
At what value(s) of x does f have a local minimum? (Select all that apply.)
0 1 2 3 5 6 7 8 none of these
(c) On what interval(s) is f concave upward? (Select all that apply.)
(0, 2) (1, 6) (2, 3) (3, 5) (5, 7) (6, 8) (7, 9) none of these
On what interval(s) is f concave downward? (Select all that apply.)
(0, 1) (0, 2) (1, 6) (2, 3) (3, 5) (5, 7) (6, 8) (7, 9) (8, 9) none of these
(d) What are the x-coordinate(s) of the inflection point(s) of f? (Select all that apply.)
0 1 2 3 5 6 7 8 none of these
Explanation / Answer
1) (1,6) and( 8,9)
2) (0,1) (6,8)
3) 2, 5 and 9
4) 0 , 3 and 7
5) (2, 3) (3, 5) (5, 7) and (7, 9)
6) (0,2)
7) 2