The function $\displaystyle {f}$ is given by the equation $\displaystyle {f{{\left({x}\right)}}}={\left|{x}+{2}\right|}-{\left|{x}-{2}\right|}$. The graph of the function $\displaystyle {g{{\left({x}\right)}}}$ is shown below. Express the function $\displaystyle {g{{\left({x}\right)}}}$ in terms of $\displaystyle {f{{\left({x}\right)}}}$.



$\displaystyle {g{{\left({x}\right)}}}=$Preview Question 6