Determine the maximum possible number of turning points for the graph of the function.
-$$f ( x ) = x ^ { 5 } \left( x ^ { 5 } - 4 \right) ( 4 x + 5 )$$
A) 10
B) 11
C) 40
D) 5

Question

Quizplus · Accepted Answer

The maximum number of turning points for a polynomial function is one less than its degree. The given function is a polynomial of degree $5 + 5 + 1 = 11$, so the maximum number of turning points is $11 - 1 = 10$.

Determine the Maximum Possible Number of Turning Points for the Graph