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Sketch a Graph of a Single Function That Has These (3,3)(-3,3)

Question 205

Essay

Sketch a graph of a single function that has these properties.
-(a) defined for all real numbers
(b) increasing on (3,3)(-3,3)
(c) decreasing on (,3)(-\infty,-3) and (3,)(3, \infty)
(d) concave downward on (0,)(0, \infty)
(e) concave upward on (,0)(-\infty, 0)
(f) f(3)=f(3)=0\mathrm{f}^{\prime}(-3)=\mathrm{f}^{\prime}(3)=0
(g) inflection point at (0,0)(0,0)

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