QUESTION 17 Suppose that the function with the given graph is not f(x), but f'(x). Find the open intervals where the function is concave upward or concave downward, and find the location of any inflection points. 120- Concave upward on (-∞, 0); concave downward on (0, ∞); inflection point at 0 O Concave upward on (-2, 2), concave downward on (-∞, -2) and (2, ∞), inflection points at -2 and 2 O Concave upward on (-∞, -2) and (2,); concave downward on (-2, 2), inflection points at-120 and 120 O Concave upward on (-∞, -2) and (2,), concave downward on (-2, 2); inflection points at -2 and 2
QUESTION 17 Suppose that the function with the given graph is not f(x), but f'(x). Find the open intervals where the function is concave upward or concave downward, and find the location of any inflection points. 120- Concave upward on (-∞, 0); concave downward on (0, ∞); inflection point at 0 O Concave upward on (-2, 2), concave downward on (-∞, -2) and (2, ∞), inflection points at -2 and 2 O Concave upward on (-∞, -2) and (2,); concave downward on (-2, 2), inflection points at-120 and 120 O Concave upward on (-∞, -2) and (2,), concave downward on (-2, 2); inflection points at -2 and 2
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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Transcribed Image Text:Question Completion Status:
QUESTION 17
Suppose that the function with the given graph is not f(x), but f'(x). Find the open intervals where the function is concave upward or
concave downward, and find the location of any inflection points.
120
2
O Concave upward on (-∞, 0); concave downward on (0, ∞); inflection point at 0
O Concave upward on (-2, 2), concave downward on (-∞, -2) and (2, ∞), inflection points at -2 and 2
O Concave upward on (-∞, -2) and (2, ); concave downward on (-2, 2), inflection points at -120 and 120
O Concave upward on (-∞, -2) and (2,), concave downward on (-2, 2), inflection points at -2 and 2
QUESTION 18
Find the open interval(s) where the function is changing as requested.
Increasing: f(x)=x²-2x+1
0 (-001)
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Transcribed Image Text:Suppose
butt (X). Fl
concave downward, and find the location of any inflection points.
120
80
-5 4 3 2 -1
-40
-80-
-120+
B
QUESTION 18
4
+ T
4 5 X
O Concave upward on (-∞0, 0); concave downward on (0, ∞), inflection point a
O Concave upward on (-2, 2); concave downward on (-∞, -2) and (2, ∞); infle
O Concave upward on (-∞, -2) and (2, ∞); concave downward on (-2, 2); inflec
O Concave upward on (-∞, -2) and (2, ∞); concave downward on (-2, 2); inflec
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