## Precalculus (6th Edition) Blitzer

$maximum$, $minimum$
Recall the definitions of relative minimum and maximum of functions. We have: - If $f(a)\gt f(x)$ in an open interval containing $a$, $x \ne a$, then the function value $f(a)$ is a relative $maximum$ of $f$. - If $f(b) \lt f(x)$ in an open interval containing $b$, $x\ne b$, then the function value $f(b)$ is a relative $minimum$ of $f$.