Parent functions are the most basic functions you can find. Familiarity with the basic characteristics of these simple graphs will help you analyze the shapes of more complicated graphs. So the Parent Absolute Value Function is given by:
[tex]f(x)=\left | x \right | \\ \\ where: \\ \\ \left | x \right |= \left \{ {{x \ if \ x \geq 0} \atop {-x \ if \ x\ \textless \ 0}} \right.[/tex]
This function is shown in the figure below. As we can see, the domain of this function is the set of all real numbers while the range is:
[tex]\{y/ \ y\ \textgreater \ 0 \}[/tex]
