Mathematics

Mathematics

Problem

Let ga(x)=x3−3axg_a(x)=x^3-3ax be defined on the closed interval [−2,2][-2,2], where aa is a real parameter. Which of the following lists all xx-values that are guaranteed to be candidates for the absolute extrema of gag_a on [−2,2][-2,2], regardless of the value of aa? a) {−2,a}\{-2,a\} b) {−2,2}\{-2,2\} c) {−2,2,0}\{-2,2,0\} d) {a,−a}\{a,-a\}

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