Question

select all points where relative maximums values occur on the graph of this polynomial function. a b c d e f g h

Explanation:

Step1: Recall the definition of relative maximum

A relative maximum of a function is a point where the function changes from increasing to decreasing.

Step2: Analyze each point

• Point \(A\): The function is decreasing before and after \(A\) (not a relative maximum).
• Point \(B\): The function is increasing after \(B\) (not a relative maximum).
• Point \(C\): The function is increasing after \(C\) (not a relative maximum).
• Point \(D\): The function changes from increasing (before \(D\)) to decreasing (after \(D\)).
• Point \(E\): The function is increasing after \(E\) (not a relative maximum).
• Point \(F\): The function changes from increasing (before \(F\)) to decreasing (after \(F\)).

Answer:

D, F