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Determine the Maximum Possible Number of Turning Points for the Graph

Question 69

Multiple Choice

Determine the maximum possible number of turning points for the graph of the function.
-The profits (in millions) for a company for 8 years were as follows:  Determine the maximum possible number of turning points for the graph of the function. -The profits (in millions)  for a company for 8 years were as follows:    Which of the following polynomials is the best model for this data? A)   P ( x )  = 0.05 x ^ { 2 } - 0.8 x + 6  B)   P ( x )  = - 0.08 x ^ { 3 } + 7 x ^ { 2 } + 1.3 x - 0.18  C)   P ( x )  = 0.03 x ^ { 3 } - 0.3 x ^ { 2 } + 1.3 x + 0.17  D)   P ( x )  = - 0.03 x ^ { 4 } - 0.3 x ^ { 2 } + 1.3 x + 0.17

Which of the following polynomials is the best model for this data?


A) P(x) =0.05x20.8x+6P ( x ) = 0.05 x ^ { 2 } - 0.8 x + 6
B) P(x) =0.08x3+7x2+1.3x0.18P ( x ) = - 0.08 x ^ { 3 } + 7 x ^ { 2 } + 1.3 x - 0.18
C) P(x) =0.03x30.3x2+1.3x+0.17P ( x ) = 0.03 x ^ { 3 } - 0.3 x ^ { 2 } + 1.3 x + 0.17
D) P(x) =0.03x40.3x2+1.3x+0.17P ( x ) = - 0.03 x ^ { 4 } - 0.3 x ^ { 2 } + 1.3 x + 0.17

Correct Answer:

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