Calculus problem #63971

Calculus Level 2

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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