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Sketch a Graph of a Single Function That Has These (,0)(-\infty, 0)

Question 167

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Sketch a graph of a single function that has these properties.
-(a) defined for all real numbers
(b) decreasing on (,0)(-\infty, 0)
(c) increasing on (0,)(0, \infty)
(d) concave downward on (,0)(0,)(-\infty, 0) \cup(0, \infty)
(e) f(0)=f(0)f(0)=f^{\prime}(0) is undefined

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