(d) What are the x-coordinate(s) of the inflection point(s) of f? (Select all that apply.) Do 0₂ as none of these (e) Assuming that f(0) = 0, sketch a graph of f

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Parts d and e

The graph of the derivative f' of a continuous function f is shown below.
01
02
ya
-2
6
07
0
8
-2
(a) On what interval(s) is fincreasing? (Select all that apply.)
(0, 1)
(0, 2)
☐ (1,6)
(5,7)
(6,8)
(7,9)
☐ (8,9)
3
05
6
07
8
none of these
y = f'(x)
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.)
Do
2
none of these
none of these
4
At what value(s) of x does f have a local minimum? (Select all that apply.)
Do
01
2
3
6
8 x
(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)
DENGAN
(3,5)
(5,7)
(6,8)
(7,9)
□ (8,9)
(e) Assuming that f(0)= 0, sketch a graph of f
(d) What are the x-coordinate(s) of the inflection point(s) of f? (Select all that apply.)
□o
01
02
02
Transcribed Image Text:The graph of the derivative f' of a continuous function f is shown below. 01 02 ya -2 6 07 0 8 -2 (a) On what interval(s) is fincreasing? (Select all that apply.) (0, 1) (0, 2) ☐ (1,6) (5,7) (6,8) (7,9) ☐ (8,9) 3 05 6 07 8 none of these y = f'(x) 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.) Do 2 none of these none of these 4 At what value(s) of x does f have a local minimum? (Select all that apply.) Do 01 2 3 6 8 x (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) DENGAN (3,5) (5,7) (6,8) (7,9) □ (8,9) (e) Assuming that f(0)= 0, sketch a graph of f (d) What are the x-coordinate(s) of the inflection point(s) of f? (Select all that apply.) □o 01 02 02
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