= Solution
The graph is even and periodic with period $\pi$, bounded between $1$ and $e$. It rises from each minimum at $k\pi$ to a maximum halfway to the next minimum, then falls back. It has horizontal tangents at all these extrema and repeats smoothly.
\Image[/past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2014/paper-2-exponential-sine-square.png]
{title=The periodic graph of exp(sin squared x), with all types of stationary point marked}
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