Stuart Reed
05/31/2023 · Senior High School

\begin{tabular}{l} For the polynomial function \\ \( f(x)=-0.02 x^{4}+.36 x^{2}-1.62 \), find all local and \\ global extrema. \\ The only extrema point is \( (-1.62,0) \). \\ The only extrema point is \( (9,0) \). \\ No local extrema exist. \\ The local extrema are \( (-3,0),(0,-1.62) \) and \( (3 \), \\ \( 0) \). The global extrema are \( (-3,0) \) and \( (3,0) \). \\ \hline\end{tabular}

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The local extrema are at \( (-3, 0) \), \( (0, -1.62) \), and \( (3, 0) \). The global maximum occurs at \( (-3, 0) \) and \( (3, 0) \), and the global minimum is at \( (0, -1.62) \).

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