Question

what is the relative max?
(-∞, ∞)
(-2.55, -6.55), (2.55, -6.55)
(0, 36)
none

Explanation:

Step1: Recall the definition of relative maximum

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

Step2: Analyze the given points

• The point \((-8,8)\) is a relative maximum as it is a peak in the graph where the function changes from increasing (before \(x = - 8\)) to decreasing (after \(x=-8\)).
• The points \((-2.55,-6.55)\) and \((2.55,-6.55)\) are relative minima (function changes from decreasing to increasing).
• The point \((0,36)\) is not a relative maximum (by observing the graph's behavior around \(x = 0\)).

Answer:

\((-8,8)\)