Sketch a possible graph of a differentiable function \( f \) that satisfies the following condit...
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Sketch a possible graph of a differentiable function \( f \) that satisfies the following conditions:
(a) \( f^{\prime}(x)0 \) on \( (-\infty, 1), f(x) \) on \( (1, \infty) \)
(b) \( f^{\prime \prime}(x)0 \) on \( (-\infty,-2) \) and \( (2, \infty), f^{\prime \prime}(x)0 \) on \( (-2,2) \)
(c) \( \lim _{x \rightarrow-\infty} f(x)=-2, \lim _{x \rightarrow \infty} f(x)=0 \)
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