A Point $\mathrm{x} 1$ Is a Local Minimum of a Function $\mathrm{f}(\mathrm{x})$

True/False

A point $\mathrm{x} 1$ is a local minimum of a function $\mathrm{f}(\mathrm{x})$ if the value of $\mathrm{f}(\mathrm{x})$ is more for all points around a fixed distance, usually $\pm 0.1 \mathrm{x}^{1}$ around $\mathrm{x}^{1}$ .