?Sketch the graph of a function f such that \(f^{\prime}(x)<0\) for all x, \(f^{\prime

Chapter 15, Problem 84

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Sketch the graph of a function f such that \(f^{\prime}(x)<0\) for all x, \(f^{\prime \prime}(x)>0\) for |x| > 1, f^{\prime \prime}(x)<0\) for |x| < 1, and \(\lim \limits_{x \rightarrow \pm \infty}[f(x)+x]=0\).

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