# Calculus problem #63971

Calculus Level 2

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Suppose $$f$$ is a function defined on the closed interval $$-3 \le x \le 4$$ with $$f(0)=42$$ such that the graph of $$f',$$ the derivative of $$f,$$ on the interval is as shown in the above diagram. Find the $$x$$-coordinates of the points of inflection of $$f.$$

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