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Question
what is the relative min? (0, 36) (-2.55, -6.55), (2.55, -6.55) (-∞, ∞) none
Step1: Understand relative minimum concept
A relative minimum of a function is a point where the function changes from decreasing to increasing. On a graph, it is a "valley" point in a local region.
Step2: Analyze the given points
We are given points \((0,36)\), \((- 2.55,-6.55)\), \((2.55,-6.55)\), \((-\infty,8)\) and "None". The \(y -\) coordinate of a relative minimum represents the minimum value in a local neighborhood. The points \((-2.55,-6.55)\) and \((2.55,-6.55)\) have the lowest \(y -\) values among the non - asymptotic and non - single - point (since \((0,36)\) has a higher \(y\) value and \((-\infty,8)\) is not a proper point in the sense of a local minimum for a function's graph as shown in the coordinate - plane graph) in the context of a function's graph (where we look for actual coordinate points for local minima).
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\((-2.55,-6.55)\), \((2.55,-6.55)\)