Determine the maximum possible number of turning points for the graph of the function.
-$$f ( x ) = x ^ { 4 } \left( x ^ { 4 } + 2 \right) ( 6 x + 4 )$$
A) 48
B) 9
C) 4
D) 8

Question

Quizplus · Accepted Answer

The maximum number of turning points of a polynomial function is one less than its degree. The given function is a polynomial of degree $4 + 4 + 1 = 9$. Therefore, the maximum number of turning points is $9 - 1 = 8$.

Determine the Maximum Possible Number of Turning Points for the Graph