Determine the maximum number of turning points of f.
-$f ( x ) = ( x - 2 ) ^ { 2 } ( x + 4 ) ^ { 2 }$
A) 3
B) 2
C) 4
D) 1

Question

Quizplus · Accepted Answer

The maximum number of turning points of a polynomial function is one less than its degree. The given function $f(x) = (x - 2)^2(x + 4)^2$ is a polynomial of degree 4 (since each factor is squared, contributing two to the degree, and there are two factors). Therefore, the maximum number of turning points is $4 - 1 = 3$.

Determine the Maximum Number of Turning Points of F f(x)=(x−2)2(x+4)2f ( x ) = ( x - 2 ) ^ { 2 } ( x + 4 ) ^ { 2 }f(x)=(x−2)2(x+4)2

Determine the Maximum Number of Turning Points of F $f ( x ) = ( x - 2 ) ^ { 2 } ( x + 4 ) ^ { 2 }$