Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

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
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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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