How many points of inflection are on the graph of the function?
$$f ( x ) = 18 x ^ { 3 } + 5 x ^ { 2 } - 12 x - 20$$ Select the correct answer.
A) 5
B) 2
C) 3
D) 4
E) 1

Question

Quizplus · Accepted Answer

A point of inflection occurs where the second derivative changes sign. For the given cubic function, the second derivative is linear, which can change sign at most once, indicating at most one point of inflection.

How Many Points of Inflection Are on the Graph of the Function