Question: An unknown function \(f\) has second derivative \(f^{\prime \prime}(x)=\sin \left(\frac{\pi x^{2}}{9}\right)\). Suppose \(f\) has a critical number at \(x=3.21\).

Which statement must be true about \(f\) at \(x=3.21\) ?

The function \(f\) has

an inflection point at \(x=3.21\).

a local maximum value at \(x=3.21\).

a local minimum value at \(x=3.21\).

none of these.

There is not enough information to answer.

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