Consider the four graphs shown below. For each graph, select Yes if satisfies the following conditions, and No if it does not: f'(x) < 0 when - 3 0 when x < -3 and when x > 3 f(3) = -3 Graph A O Yes O No -6 Graph C 6 -4 -2 -2 15 4 2 [1(a) 4 19 2 2 6 Yes O No 4 6 Graph B -6 Graph D -6 -2 -2 [1(0) 4 2 T [1(x) 4 16 OYes O No 2 6 O Yes O No 2 9

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 54PS
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Consider the four graphs shown below. For each graph, select Yes if satisfies the following conditions, and No if it does not:
• f'(x) < 0 when - 3 < x <3
• f(-3) = 3
• f(3) = -3
Graph B
f'(x) > 0 when x < -3 and when x > 3
●
Graph A
Yes
O No
-6 -4 -2
Graph C
-6
-4 -2
4
2
-2
-4
4
2
-2
(α)
2
4
OYes
2
4
6
6
O
No
f(x)
4
2
¥
-6 -4 -2
2
-2
Graph D
-4 -2
4
-2
f(x)
Yes O No
O Yes
2
4
6
6
O No
Transcribed Image Text:Consider the four graphs shown below. For each graph, select Yes if satisfies the following conditions, and No if it does not: • f'(x) < 0 when - 3 < x <3 • f(-3) = 3 • f(3) = -3 Graph B f'(x) > 0 when x < -3 and when x > 3 ● Graph A Yes O No -6 -4 -2 Graph C -6 -4 -2 4 2 -2 -4 4 2 -2 (α) 2 4 OYes 2 4 6 6 O No f(x) 4 2 ¥ -6 -4 -2 2 -2 Graph D -4 -2 4 -2 f(x) Yes O No O Yes 2 4 6 6 O No
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