Constrained function?

Calculus Level 4

Consider the function \( f(x) \) which has no real roots. If \( f(e) = \pi \), then in what quadrants can \( f(x) \) be in?

Note that \(f(x)\) is said to be in a quadrant if there is a point \( (x,f(x)) \) in that quadrant.

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