$3$, for $f(x) = x^2 + 3$

Example · High school

Terms

Term	This example	Why
minimum	✓	$3$ is the minimum value of $f$, and so its infimum, because $f(x) = x^2 + 3 \geq 3$, with equality at $x = 0$.
infimum	✓
minimizer	✗	$3$, for $f(x) = x^2 + 3$, is not the minimizer, which is the point $0$ where the minimum occurs.

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