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Solution to Kareem's Question

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Description
Sketch the graph of a function that satisfies all of the given conditions. Note that you need to make ONE graph that satisfies all the given conditions.
f^' (x)>0 if |x|<2,
f^' (x)<0 if |x|>2,
f^' (2)=0,l
lim(x→∞)⁡f(x)=1,
f(-x)=-f(x),
f^''(x)<0 if 0<x<3,
f^'' (x)>0 if x>3

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Solution and explanation to Calculus Question from Student: Kareem (Detroit, MI)