Do the following sets of functions have common/standard names?
- $f(x) = |x|^n$ for $n \in \mathbb{N}$ (or $\mathbb{N}\cup \{0\}$)
- $f(x) = |x|^n$ for $n \in \mathbb{Z}$
- $f(x) = |x|^r$ for $r \in \mathbb{R}$
For example, the functions $f(x) = r^x$ are usually called the exponential functions.