Let p(x)={x3−3x,−1≤x<2, 4−x ,2≤x≤4.p(x)= \begin{cases} x^{3}-3x, & -1\le x<2,\\ \sqrt{\,4-x\,}, & 2\le x\le 4. \end{cases}…

Mathematics

Problem

Let p(x)={x3−3x,−1≤x<2, 4−x ,2≤x≤4.p(x)= \begin{cases} x^{3}-3x, & -1\le x<2,\\ \sqrt{\,4-x\,}, & 2\le x\le 4. \end{cases} Identify all xx-values that must be examined to locate the absolute maximum of pp on [−1,4][-1,4]. List the values separated by commas.

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