The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6. O A. yes; 6 only AY O B. yes; 4, 6 O C. yes, 4 only O D. yes, 3, 5

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be
the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6.
Ay
21-
18-
15-
12-
O A. yes; 6 only
OB. yes; 4, 6
OC. yes; 4 only
6-
O D. yes; 3, 5
-4 -3 -2 -13-
1 2 3 4
-9
-12-
-15-
-18-
Transcribed Image Text:The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6. Ay 21- 18- 15- 12- O A. yes; 6 only OB. yes; 4, 6 OC. yes; 4 only 6- O D. yes; 3, 5 -4 -3 -2 -13- 1 2 3 4 -9 -12- -15- -18-
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