Determine the maximum possible number of turning points for the graph of the function.
-$$f ( x ) = x ^ { 7 } + 3 x ^ { 8 }$$
A) 1
B) 7
C) 3
D) 8

Question

Quizplus · Accepted Answer

The maximum number of turning points for a polynomial function is one less than the degree of the polynomial. The degree of the polynomial $f(x) = x^7 + 3x^8$ is 8, so the maximum number of turning points is 8 - 1 = 7.

Determine the Maximum Possible Number of Turning Points for the Graph