Let \( P_f(x) \) be the interpolating polynomial of degree at most two that interpolates the function \( f(x) = x^2|x| \) at the points \( x = -1, 0, 1 \). Then
\[
\sup_{x \in [-1, 1] |f(x) - P_f(x)| = \, {(round off to TWO decimal places)}.
\]
}
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Solution and Explanation
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