The six basic functions are: 1. function, latex: f\left(x\right)=xf ( x ) = x 2. function, latex: f\left(x\right)=x^2f ( x ) = x 2 3. function, latex: f\left(x\right)=x^3f ( x ) = x 3 4. function, latex: f\left(x\right)=\sqrt{x}f ( x ) = x 5. function, latex: f\left(x\right)=\sqrt[\: 3]{x}f ( x ) = x 3 6. function, latex: f\left(x\right)=|x|