- Constant Function: Constant functions have the form $f(x) = b$ where $b$ is a real number. - Domain: $(-\infty ,\infty )$ - Range: $\{b\}$ - Identity function: f(x) = x - Domain = Range = $(-\infty ,\infty )$ - Symmetry: Odd - Square Function: $f(x)=x^{2}$ - Domain: $(-\infty,\infty)$ - Range: $[0,\infty)$ - Symmetry: Even - Cube Function: $f(x)=x^{3}$ - Domain = Range = $(-\infty ,\infty )$ - Symmetry: Odd - Square Root Function: $f(x)={\sqrt {x}}$ - Domain = Range = $[0,\infty]$ - Symmetry: None - Cube Root Function:  $f(x)={\sqrt[{3}]{x}}$ - Domain = Range = $(-\infty,\infty)$ - Symmetry: Odd - Reciprocal Function: $f(x)={\frac {1}{x}}$ - Domain = Range = $(-\infty ,0)\cup (0,\infty )$ - Symmetry: Odd - Absolute Value Function: $f(x)=\left|x\right|$ - Domain = $(-\infty ,\infty )$ - Range = $[0,\infty )$ - Symmetry: Even See also: [[Definition of the Circular Trigonometric Functions|circular functions]]