Example | Wiskunde op Tilburg University

Below the graph of the function

$f(x)=x^2$ is given. This function has no maximum, but does have a minimum. The minimum location is

$x=0$ , because for all

$x$ in the neighborhood of

$x=0$ it holds that

$f(x)\geq f(0)$ . This minimum is

$f(0)=0$ .